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22980437649 = 32136232
BaseRepresentation
bin10101011001101111…
…011010011010010001
32012022112202012002100
4111121233122122101
5334030443001044
614320154311013
71442322332331
oct253157323221
965275665070
1022980437649
119822948a34
124554128469
132223000000
1411800790c1
158e7748869
hex559bda691

22980437649 has 63 divisors (see below), whose sum is σ = 37591590127. Its totient is φ = 13526946576.

The previous prime is 22980437647. The next prime is 22980437651. The reversal of 22980437649 is 94673408922.

The square root of 22980437649 is 151593.

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

22980437649 is a `hidden beast` number, since 229 + 8 + 0 + 4 + 376 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (22980437647) and next prime (22980437651).

It can be written as a sum of positive squares in 3 ways, for example, as 19716372225 + 3264065424 = 140415^2 + 57132^2 .

It is not a de Polignac number, because 22980437649 - 21 = 22980437647 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22980437595 and 22980437604.

It is not an unprimeable number, because it can be changed into a prime (22980437647) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 999149452 + ... + 999149474.

Almost surely, 222980437649 is an apocalyptic number.

22980437649 is the 151593-rd square number.

22980437649 is the 75797-th centered octagonal number.

It is an amenable number.

22980437649 is a deficient number, since it is larger than the sum of its proper divisors (14611152478).

22980437649 is an frugal number, since it uses more digits than its factorization.

22980437649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 22980437649 in words is "twenty-two billion, nine hundred eighty million, four hundred thirty-seven thousand, six hundred forty-nine".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 507 529 897 1521 1587 2197 2691 3887 4761 6591 6877 11661 19773 20631 28561 34983 50531 61893 85683 89401 151593 257049 268203 371293 454779 656903 804609 1113879 1162213 1970709 3341637 3486639 4826809 5912127 8539739 10459917 14480427 15108769 25619217 43441281 45326307 76857651 111016607 135978921 196413997 333049821 589241991 999149463 1767725973 2553381961 7660145883 22980437649