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22485825 = 325237273
BaseRepresentation
bin101010111000…
…1101101000001
31120022101202100
41111301231001
521224021300
62121541013
7362061225
oct125615501
946271670
1022485825
1111768a2a
127644769
134873a2b
142db4785
151e92700
hex1571b41

22485825 has 54 divisors (see below), whose sum is σ = 41959554. Its totient is φ = 11508480.

The previous prime is 22485809. The next prime is 22485847. The reversal of 22485825 is 52858422.

It can be written as a sum of positive squares in 9 ways, for example, as 46656 + 22439169 = 216^2 + 4737^2 .

It is not a de Polignac number, because 22485825 - 24 = 22485809 is a prime.

It is a super-2 number, since 2×224858252 = 1011224651861250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22485825.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 307989 + ... + 308061.

Almost surely, 222485825 is an apocalyptic number.

22485825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22485825 is a deficient number, since it is larger than the sum of its proper divisors (19473729).

22485825 is a wasteful number, since it uses less digits than its factorization.

22485825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 118 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 22485825 is about 4741.9220786512. The cubic root of 22485825 is about 282.2515109402.

The spelling of 22485825 in words is "twenty-two million, four hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 73 75 111 185 219 225 333 365 555 657 925 1095 1369 1665 1825 2701 2775 3285 4107 5475 6845 8103 8325 12321 13505 16425 20535 24309 34225 40515 61605 67525 99937 102675 121545 202575 299811 308025 499685 607725 899433 1499055 2498425 4497165 7495275 22485825