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22166361216 = 273229396547
BaseRepresentation
bin10100101001001101…
…111101010010000000
32010012210220211011100
4110221031331102000
5330344042024331
614103314014400
71413205650546
oct245115752200
963183824140
1022166361216
11944537329a
124367577400
13212345bc8c
141103cc7d96
1589b040ae6
hex52937d480

22166361216 has 96 divisors (see below), whose sum is σ = 63817462800. Its totient is φ = 7385144832.

The previous prime is 22166361199. The next prime is 22166361227. The reversal of 22166361216 is 61216366122.

22166361216 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 636 + 1 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3382455 + ... + 3389001.

Almost surely, 222166361216 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 22166361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31908731400).

22166361216 is an abundant number, since it is smaller than the sum of its proper divisors (41651101584).

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

22166361216 is a wasteful number, since it uses less digits than its factorization.

22166361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506 (or 9491 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 22166361216 in words is "twenty-two billion, one hundred sixty-six million, three hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2939 5878 6547 8817 11756 13094 17634 19641 23512 26188 26451 35268 39282 47024 52376 52902 58923 70536 78564 94048 104752 105804 117846 141072 157128 188096 209504 211608 235692 282144 314256 376192 419008 423216 471384 564288 628512 838016 846432 942768 1128576 1257024 1692864 1885536 2514048 3385728 3771072 7542144 19241633 38483266 57724899 76966532 115449798 153933064 173174697 230899596 307866128 346349394 461799192 615732256 692698788 923598384 1231464512 1385397576 1847196768 2462929024 2770795152 3694393536 5541590304 7388787072 11083180608 22166361216