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221640241341240 = 233253491764089791
BaseRepresentation
bin110010011001010010100011…
…110110100110001100111000
31002001202121012111112222122100
4302121102203312212030320
5213022323203240404430
62103220042104023400
764453656540604161
oct6231224366461470
91061677174488570
10221640241341240
116469210a0a7087
1220a37444461b60
13968977b54b667
143ca3632c00768
151a955882b4960
hexc994a3da6338

221640241341240 has 96 divisors (see below), whose sum is σ = 722394769824000. Its totient is φ = 58934711704320.

The previous prime is 221640241341223. The next prime is 221640241341293. The reversal of 221640241341240 is 42143142046122.

221640241341240 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 402 + 4 + 1 + 3 + 4 + 1 + 240 = 666.

It is a super-2 number, since 2×2216402413412402 (a number of 29 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 = 221640241341195 and 221640241341204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881919256 + ... + 882170535.

It is an arithmetic number, because the mean of its divisors is an integer number (7524945519000).

Almost surely, 2221640241341240 is an apocalyptic number.

221640241341240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221640241341240 is an abundant number, since it is smaller than the sum of its proper divisors (500754528482760).

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

221640241341240 is a wasteful number, since it uses less digits than its factorization.

221640241341240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764090157 (or 1764090150 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 221640241341240 its reverse (42143142046122), we get a palindrome (263783383387362).

The spelling of 221640241341240 in words is "two hundred twenty-one trillion, six hundred forty billion, two hundred forty-one million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 349 360 698 1047 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 10470 12564 13960 15705 20940 25128 31410 41880 62820 125640 1764089791 3528179582 5292269373 7056359164 8820448955 10584538746 14112718328 15876808119 17640897910 21169077492 26461346865 31753616238 35281795820 42338154984 52922693730 63507232476 70563591640 79384040595 105845387460 127014464952 158768081190 211690774920 317536162380 615667337059 635072324760 1231334674118 1847002011177 2462669348236 3078336685295 3694004022354 4925338696472 5541006033531 6156673370590 7388008044708 9235010055885 11082012067062 12313346741180 14776016089416 18470020111770 22164024134124 24626693482360 27705030167655 36940040223540 44328048268248 55410060335310 73880080447080 110820120670620 221640241341240