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22223160216 = 23333112372683
BaseRepresentation
bin10100101100100110…
…101000001110011000
32010100202210111202000
4110230212220032120
5331003112111331
614113103241000
71414465513365
oct245446501630
963322714660
1022223160216
119474438214
1243825a9160
132132157c5a
14110b67146c
158a10100e6
hex52c9a8398

22223160216 has 128 divisors (see below), whose sum is σ = 63797606400. Its totient is φ = 7160296320.

The previous prime is 22223160191. The next prime is 22223160227. The reversal of 22223160216 is 61206132222.

It is a happy number.

22223160216 is a `hidden beast` number, since 2 + 2 + 22 + 31 + 602 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22223160216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8281611 + ... + 8284293.

It is an arithmetic number, because the mean of its divisors is an integer number (498418800).

Almost surely, 222223160216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22223160216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31898803200).

22223160216 is an abundant number, since it is smaller than the sum of its proper divisors (41574446184).

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

22223160216 is a wasteful number, since it uses less digits than its factorization.

22223160216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22223160216 its reverse (61206132222), we get a palindrome (83429292438).

The spelling of 22223160216 in words is "twenty-two billion, two hundred twenty-three million, one hundred sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1237 1674 2232 2474 2683 3348 3711 4948 5366 6696 7422 8049 9896 10732 11133 14844 16098 21464 22266 24147 29688 32196 33399 38347 44532 48294 64392 66798 72441 76694 83173 89064 96588 115041 133596 144882 153388 166346 193176 230082 249519 267192 289764 306776 332692 345123 460164 499038 579528 665384 690246 748557 920328 998076 1035369 1380492 1497114 1996152 2070738 2245671 2760984 2994228 3318871 4141476 4491342 5988456 6637742 8282952 8982684 9956613 13275484 17965368 19913226 26550968 29869839 39826452 59739678 79652904 89609517 102885001 119479356 179219034 205770002 238958712 308655003 358438068 411540004 617310006 716876136 823080008 925965009 1234620012 1851930018 2469240024 2777895027 3703860036 5555790054 7407720072 11111580108 22223160216