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22713202681 = 132115932
BaseRepresentation
bin10101001001110011…
…111111011111111001
32011121220220020121221
4111021303333133321
5333004034441211
614233450432041
71432566015541
oct251163773771
964556806557
1022713202681
1196a6013394
12449a732621
1321ac834900
141156794321
158ce05cc71
hex549cff7f9

22713202681 has 9 divisors (see below), whose sum is σ = 24596891469. Its totient is φ = 20964224736.

The previous prime is 22713202679. The next prime is 22713202741. The reversal of 22713202681 is 18620231722.

It is a happy number.

The square root of 22713202681 is 150709.

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

It can be written as a sum of positive squares in 4 ways, for example, as 660952681 + 22052250000 = 25709^2 + 148500^2 .

It is not a de Polignac number, because 22713202681 - 21 = 22713202679 is a prime.

It is a super-2 number, since 2×227132026812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22713202601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1953421 + ... + 1965013.

It is an arithmetic number, because the mean of its divisors is an integer number (2732987941).

Almost surely, 222713202681 is an apocalyptic number.

22713202681 is the 150709-th square number.

22713202681 is the 75355-th centered octagonal number.

It is an amenable number.

22713202681 is a deficient number, since it is larger than the sum of its proper divisors (1883688788).

22713202681 is an frugal number, since it uses more digits than its factorization.

22713202681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23212 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 22713202681 in words is "twenty-two billion, seven hundred thirteen million, two hundred two thousand, six hundred eighty-one".

Divisors: 1 13 169 11593 150709 1959217 134397649 1747169437 22713202681