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22900 = 2252229
BaseRepresentation
bin101100101110100
31011102011
411211310
51213100
6254004
7123523
oct54564
934364
1022900
1116229
1211304
13a567
1484ba
156bba
hex5974

22900 has 18 divisors (see below), whose sum is σ = 49910. Its totient is φ = 9120.

The previous prime is 22877. The next prime is 22901. The reversal of 22900 is 922.

22900 = T105 + T106 + ... + T108.

It can be written as a sum of positive squares in 3 ways, for example, as 5476 + 17424 = 74^2 + 132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 214.

222900 is an apocalyptic number.

22900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22900 is an abundant number, since it is smaller than the sum of its proper divisors (27010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22900 is a wasteful number, since it uses less digits than its factorization.

22900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 22900 is about 151.3274595042. The cubic root of 22900 is about 28.3973944578.

The spelling of 22900 in words is "twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900