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22726467009 = 3231216212
BaseRepresentation
bin10101001010100110…
…100101110111000001
32011122211212010212100
4111022212211313001
5333020433421014
614235043021013
71433116532211
oct251246456701
964584763770
1022726467009
119702553044
1244a306a769
1321b24ca21c
141158448241
158d02cd009
hex54a9a5dc1

22726467009 has 27 divisors (see below), whose sum is σ = 33941156067. Its totient is φ = 14653191600.

The previous prime is 22726467007. The next prime is 22726467031. The reversal of 22726467009 is 90076462722.

The square root of 22726467009 is 150753.

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., 17464415409 + 5262051600 = 132153^2 + 72540^2 .

It is not a de Polignac number, because 22726467009 - 21 = 22726467007 is a prime.

It is a super-2 number, since 2×227264670092 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22726467007) 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 26 ways as a sum of consecutive naturals, for example, 14019219 + ... + 14020839.

Almost surely, 222726467009 is an apocalyptic number.

22726467009 is the 150753-rd square number.

22726467009 is the 75377-th centered octagonal number.

It is an amenable number.

22726467009 is a deficient number, since it is larger than the sum of its proper divisors (11214689058).

22726467009 is an frugal number, since it uses more digits than its factorization.

22726467009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 22726467009 in words is "twenty-two billion, seven hundred twenty-six million, four hundred sixty-seven thousand, nine".

Divisors: 1 3 9 31 93 279 961 1621 2883 4863 8649 14589 50251 150753 452259 1557781 2627641 4673343 7882923 14020029 23648769 81456871 244370613 733111839 2525163001 7575489003 22726467009