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22492004256 = 253278097237
BaseRepresentation
bin10100111100101000…
…001011111110100000
32011001111200012102200
4110330220023332200
5332030423114011
614155505413200
71424241611301
oct247450137640
964044605380
1022492004256
1195a2171777
12443863a200
132175a67877
1411352547a8
158b9917856
hex53ca0bfa0

22492004256 has 36 divisors (see below), whose sum is σ = 63961637922. Its totient is φ = 7497334656.

The previous prime is 22492004251. The next prime is 22492004263. The reversal of 22492004256 is 65240029422.

It is a happy number.

22492004256 is a `hidden beast` number, since 2 + 24 + 9 + 200 + 425 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19735754256 + 2756250000 = 140484^2 + 52500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×224920042562 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22492004256.

It is not an unprimeable number, because it can be changed into a prime (22492004251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39048331 + ... + 39048906.

Almost surely, 222492004256 is an apocalyptic number.

It is an amenable number.

22492004256 is an abundant number, since it is smaller than the sum of its proper divisors (41469633666).

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

22492004256 is a wasteful number, since it uses less digits than its factorization.

22492004256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78097253 (or 78097242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22492004256 in words is "twenty-two billion, four hundred ninety-two million, four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 78097237 156194474 234291711 312388948 468583422 624777896 702875133 937166844 1249555792 1405750266 1874333688 2499111584 2811500532 3748667376 5623001064 7497334752 11246002128 22492004256