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222516541832 = 23132128292
BaseRepresentation
bin1100111100111100000…
…1001111100110001000
3210021100120010112011012
43033033001033212020
512121203213314312
6250120033423052
722035111253364
oct3171701174610
9707316115135
10222516541832
1186406872362
123716040aa88
1317ca2198600
14aaac6c22a4
155bc50d7322
hex33cf04f988

222516541832 has 36 divisors (see below), whose sum is σ = 451816214895. Its totient is φ = 102691937088.

The previous prime is 222516541817. The next prime is 222516541847. The reversal of 222516541832 is 238145615222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222516541832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222516541817) and next prime (222516541847).

It can be written as a sum of positive squares in 5 ways, for example, as 92084330116 + 130432211716 = 303454^2 + 361154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333554.

It is a super-2 number, since 2×2225165418322 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 222516541832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17338394 + ... + 17351222.

Almost surely, 2222516541832 is an apocalyptic number.

It is an amenable number.

222516541832 is an abundant number, since it is smaller than the sum of its proper divisors (229299673063).

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

222516541832 is an frugal number, since it uses more digits than its factorization.

222516541832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25690 (or 12844 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The spelling of 222516541832 in words is "two hundred twenty-two billion, five hundred sixteen million, five hundred forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 12829 25658 51316 102632 166777 333554 667108 1334216 2168101 4336202 8672404 17344808 164583241 329166482 658332964 1316665928 2139582133 4279164266 8558328532 17116657064 27814567729 55629135458 111258270916 222516541832