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22354735225 = 5217217592
BaseRepresentation
bin10100110100011100…
…100011000001111001
32010200221101012201111
4110310130203001321
5331240303011400
614134123320321
71420654054114
oct246434430171
963627335644
1022354735225
119531735499
1243ba6800a1
1321534a55a4
141120d2157b
158ac8503ba
hex534723079

22354735225 has 27 divisors (see below), whose sum is σ = 29463118797. Its totient is φ = 16822231680.

The previous prime is 22354735217. The next prime is 22354735229. The reversal of 22354735225 is 52253745322.

The square root of 22354735225 is 149515.

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 522899689 + 21831835536 = 22867^2 + 147756^2 .

It is not a de Polignac number, because 22354735225 - 23 = 22354735217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22354735229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12707896 + ... + 12709654.

Almost surely, 222354735225 is an apocalyptic number.

22354735225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22354735225 is the 149515-th square number.

22354735225 is the 74758-th centered octagonal number.

It is an amenable number.

22354735225 is a deficient number, since it is larger than the sum of its proper divisors (7108383572).

22354735225 is an frugal number, since it uses more digits than its factorization.

22354735225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 1781 counting only the distinct ones).

The product of its digits is 504000, while the sum is 40.

The spelling of 22354735225 in words is "twenty-two billion, three hundred fifty-four million, seven hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 1759 7225 8795 29903 43975 149515 508351 747575 2541755 3094081 12708775 15470405 52599377 77352025 262996885 894189409 1314984425 4470947045 22354735225