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22161215340540 = 22325613116489793
BaseRepresentation
bin1010000100111110011110…
…10111100011111111111100
32220110120222012102012102100
411002133033113203333330
510401042132111344130
6115044415523225100
74445044401223023
oct502371727437774
986416865365370
1022161215340540
117074578355351
12259abaa218190
13c49a4181a823
14568873bc58ba
152866e636bc60
hex1427cf5e3ffc

22161215340540 has 144 divisors (see below), whose sum is σ = 68544062024256. Its totient is φ = 5794086297600.

The previous prime is 22161215340533. The next prime is 22161215340577. The reversal of 22161215340540 is 4504351216122.

22161215340540 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 1 + 21 + 53 + 40 + 540 = 666.

It is a super-2 number, since 2×221612153405402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22161215340495 and 22161215340504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169884 + ... + 6659676.

It is an arithmetic number, because the mean of its divisors is an integer number (476000430724).

Almost surely, 222161215340540 is an apocalyptic number.

22161215340540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161215340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272031012128).

22161215340540 is an abundant number, since it is smaller than the sum of its proper divisors (46382846683716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22161215340540 is a wasteful number, since it uses less digits than its factorization.

22161215340540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490180 (or 6490175 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 22161215340540 its reverse (4504351216122), we get a palindrome (26665566556662).

The spelling of 22161215340540 in words is "twenty-two trillion, one hundred sixty-one billion, two hundred fifteen million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 311 366 549 610 622 732 915 933 1098 1220 1244 1555 1830 1866 2196 2745 2799 3110 3660 3732 4665 5490 5598 6220 9330 10980 11196 13995 18660 18971 27990 37942 55980 56913 75884 94855 113826 170739 189710 227652 284565 341478 379420 569130 682956 853695 1138260 1707390 3414780 6489793 12979586 19469379 25959172 32448965 38938758 58408137 64897930 77877516 97346895 116816274 129795860 194693790 233632548 292040685 389387580 395877373 584081370 791754746 1168162740 1187632119 1583509492 1979386865 2018325623 2375264238 3562896357 3958773730 4036651246 4750528476 5938160595 6054976869 7125792714 7917547460 8073302492 10091628115 11876321190 12109953738 14251585428 17814481785 18164930607 20183256230 23752642380 24219907476 30274884345 35628963570 36329861214 40366512460 60549768690 71257927140 72659722428 90824653035 121099537380 123117863003 181649306070 246235726006 363298612140 369353589009 492471452012 615589315015 738707178018 1108060767027 1231178630030 1477414356036 1846767945045 2216121534054 2462357260060 3693535890090 4432243068108 5540303835135 7387071780180 11080607670270 22161215340540