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22002111212220 = 223558297545641
BaseRepresentation
bin1010000000010110001000…
…00001011110101010111100
32212220101021221221001100000
411000023010001132222330
510340440310432242340
6114443344053434300
74430412553362426
oct500130401365274
985811257831300
1022002111212220
117013052204907
1225741a663b990
13c37a370604b9
14560c9d275816
152824d3392d30
hex1402c405eabc

22002111212220 has 144 divisors (see below), whose sum is σ = 69220048087008. Its totient is φ = 5866511754240.

The previous prime is 22002111212219. The next prime is 22002111212273. The reversal of 22002111212220 is 2221211120022.

It is a happy number.

22002111212220 is a `hidden beast` number, since 2 + 20 + 0 + 211 + 1 + 212 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22002111212193 and 22002111212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40050600 + ... + 40596240.

It is an arithmetic number, because the mean of its divisors is an integer number (480694778382).

Almost surely, 222002111212220 is an apocalyptic number.

22002111212220 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 22002111212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34610024043504).

22002111212220 is an abundant number, since it is smaller than the sum of its proper divisors (47217936874788).

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

22002111212220 is a wasteful number, since it uses less digits than its factorization.

22002111212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553962 (or 553948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22002111212220 its reverse (2221211120022), we get a palindrome (24223322332242).

The spelling of 22002111212220 in words is "twenty-two trillion, two billion, one hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8297 16594 24891 33188 41485 49782 74673 82970 99564 124455 149346 165940 224019 248910 298692 373365 448038 497820 545641 672057 746730 896076 1091282 1120095 1344114 1493460 1636923 2016171 2182564 2240190 2688228 2728205 3273846 3360285 4032342 4480380 4910769 5456410 6547692 6720570 8064684 8184615 9821538 10080855 10912820 13441140 14732307 16369230 19643076 20161710 24553845 29464614 32738460 40323420 44196921 49107690 58929228 73661535 88393842 98215380 132590763 147323070 176787684 220984605 265181526 294646140 441969210 530363052 662953815 883938420 1325907630 2651815260 4527183377 9054366754 13581550131 18108733508 22635916885 27163100262 40744650393 45271833770 54326200524 67907750655 81489300786 90543667540 122233951179 135815501310 162978601572 203723251965 244467902358 271631002620 366701853537 407446503930 488935804716 611169755895 733403707074 814893007860 1100105560611 1222339511790 1466807414148 1833509267685 2200211121222 2444679023580 3667018535370 4400422242444 5500527803055 7334037070740 11001055606110 22002111212220