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22658979841 = 109213812
BaseRepresentation
bin10101000110100101…
…001001100000000001
32011111010212102212121
4111012211021200001
5332401144323331
614224232324241
71431340102501
oct250645114001
964433772777
1022658979841
119678448a23
124484543681
1321a152b3a4
14114d4bba01
158c93ebc11
hex546949801

22658979841 has 9 divisors (see below), whose sum is σ = 22885339113. Its totient is φ = 22434842160.

The previous prime is 22658979829. The next prime is 22658979877. The reversal of 22658979841 is 14897985622.

The square root of 22658979841 is 150529.

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 553237441 + 22105742400 = 23521^2 + 148680^2 .

It is not a de Polignac number, because 22658979841 - 211 = 22658977793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22658979841.

It is not an unprimeable number, because it can be changed into a prime (22658979881) 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, 16406971 + ... + 16408351.

It is an arithmetic number, because the mean of its divisors is an integer number (2542815457).

Almost surely, 222658979841 is an apocalyptic number.

22658979841 is the 150529-th square number.

22658979841 is the 75265-th centered octagonal number.

It is an amenable number.

22658979841 is a deficient number, since it is larger than the sum of its proper divisors (226359272).

22658979841 is an frugal number, since it uses more digits than its factorization.

22658979841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 1490 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The spelling of 22658979841 in words is "twenty-two billion, six hundred fifty-eight million, nine hundred seventy-nine thousand, eight hundred forty-one".

Divisors: 1 109 1381 11881 150529 1907161 16407661 207880549 22658979841