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22290626848 = 257217836233
BaseRepresentation
bin10100110000100111…
…111111100100100000
32010112110202011120011
4110300213333210200
5331122400024343
614123513254304
71416245126200
oct246047774440
963473664504
1022290626848
1194a9528966
1243a1104394
13214311a639
1411165d4400
158a6dda29d
hex5309ff920

22290626848 has 72 divisors (see below), whose sum is σ = 54052493292. Its totient is φ = 8991166464.

The previous prime is 22290626843. The next prime is 22290626857. The reversal of 22290626848 is 84862609222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17771022864 + 4519603984 = 133308^2 + 67228^2 .

It is a super-3 number, since 3×222906268483 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (22290626843) 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 11 ways as a sum of consecutive naturals, for example, 391461 + ... + 444772.

Almost surely, 222290626848 is an apocalyptic number.

22290626848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22290626848 is an abundant number, since it is smaller than the sum of its proper divisors (31761866444).

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

22290626848 is a wasteful number, since it uses less digits than its factorization.

22290626848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836274 (or 836259 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 22290626848 in words is "twenty-two billion, two hundred ninety million, six hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 836233 1672466 3344932 5853631 6689864 11707262 13379728 14215961 23414524 26759456 28431922 40975417 46829048 56863844 81950834 93658096 99511727 113727688 163901668 187316192 199023454 227455376 327803336 398046908 454910752 655606672 696582089 796093816 1311213344 1393164178 1592187632 2786328356 3184375264 5572656712 11145313424 22290626848