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21906625 = 531321761
BaseRepresentation
bin101001110010…
…0010011000001
31112012222020111
41103210103001
521102003000
62101311321
7354126466
oct123442301
945188214
1021906625
1111402854
127405541
134700200
142ca366d
151dcacba
hex14e44c1

21906625 has 48 divisors (see below), whose sum is σ = 31859568. Its totient is φ = 14976000.

The previous prime is 21906617. The next prime is 21906631. The reversal of 21906625 is 52660912.

It can be written as a sum of positive squares in 24 ways, for example, as 19114384 + 2792241 = 4372^2 + 1671^2 .

It is not a de Polignac number, because 21906625 - 23 = 21906617 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359095 + ... + 359155.

It is an arithmetic number, because the mean of its divisors is an integer number (663741).

Almost surely, 221906625 is an apocalyptic number.

21906625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21906625 is a deficient number, since it is larger than the sum of its proper divisors (9952943).

21906625 is a wasteful number, since it uses less digits than its factorization.

21906625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 21906625 is about 4680.4513671226. The cubic root of 21906625 is about 279.8069460056.

The spelling of 21906625 in words is "twenty-one million, nine hundred six thousand, six hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 125 169 221 305 325 425 793 845 1037 1105 1525 1625 2125 2873 3965 4225 5185 5525 7625 10309 13481 14365 19825 21125 25925 27625 51545 67405 71825 99125 129625 175253 257725 337025 359125 876265 1288625 1685125 4381325 21906625