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22950735025 = 524127392
BaseRepresentation
bin10101010111111110…
…000110110010110001
32012020110212010202011
4111113332012302301
5334000342010100
614313213522521
71441512012631
oct252776066261
965213763664
1022950735025
119808100a09
1245461a3441
132219b004aa
14117a1466c1
158e4d2cbba
hex557f86cb1

22950735025 has 27 divisors (see below), whose sum is σ = 29209486593. Its totient is φ = 17888529600.

The previous prime is 22950735001. The next prime is 22950735253. The reversal of 22950735025 is 52053705922.

It is a happy number.

The square root of 22950735025 is 151495.

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 9660334369 + 13290400656 = 98287^2 + 115284^2 .

It is not a de Polignac number, because 22950735025 - 25 = 22950734993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31056106 + ... + 31056844.

Almost surely, 222950735025 is an apocalyptic number.

22950735025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22950735025 is the 151495-th square number.

22950735025 is the 75748-th centered octagonal number.

It is an amenable number.

22950735025 is a deficient number, since it is larger than the sum of its proper divisors (6258751568).

22950735025 is an frugal number, since it uses more digits than its factorization.

22950735025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 22950735025 in words is "twenty-two billion, nine hundred fifty million, seven hundred thirty-five thousand, twenty-five".

Divisors: 1 5 25 41 205 739 1025 1681 3695 8405 18475 30299 42025 151495 546121 757475 1242259 2730605 6211295 13653025 22390961 31056475 111954805 559774025 918029401 4590147005 22950735025