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22634901601 = 1327121632
BaseRepresentation
bin10101000101001001…
…010011000001100001
32011102110120010201221
4111011021103001201
5332324013322401
614222012255041
71430625326524
oct250511230141
964373503657
1022634901601
1196658a2654
124478471481
13219954a900
14114a210bbb
158c72427a1
hex545253061

22634901601 has 27 divisors (see below), whose sum is σ = 25013506707. Its totient is φ = 20473099920.

The previous prime is 22634901599. The next prime is 22634901607. The reversal of 22634901601 is 10610943622.

It is a happy number.

The square root of 22634901601 is 150449.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3348358225 + 19286543376 = 57865^2 + 138876^2 .

It is not a de Polignac number, because 22634901601 - 21 = 22634901599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22634901607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138864346 + ... + 138864508.

Almost surely, 222634901601 is an apocalyptic number.

22634901601 is the 150449-th square number.

22634901601 is the 75225-th centered octagonal number.

It is an amenable number.

22634901601 is a deficient number, since it is larger than the sum of its proper divisors (2378605106).

22634901601 is an frugal number, since it uses more digits than its factorization.

22634901601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 22634901601 in words is "twenty-two billion, six hundred thirty-four million, nine hundred one thousand, six hundred one".

Divisors: 1 13 71 163 169 923 2119 5041 11573 11999 26569 27547 65533 150449 345397 821683 851929 1886399 1955837 4490161 10681879 24523187 133934329 138864427 318801431 1741146277 22634901601