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238568900 = 22525345013
BaseRepresentation
bin11100011100001…
…00010111000100
3121121220120000012
432032010113010
5442033201100
635401205352
75624542103
oct1616042704
9547816005
10238568900
11112736389
1267a90858
133a56c63b
142398203a
1515e27135
hexe3845c4

238568900 has 36 divisors (see below), whose sum is σ = 527474052. Its totient is φ = 93624960.

The previous prime is 238568899. The next prime is 238568929. The reversal of 238568900 is 9865832.

238568900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 26050816 + 212518084 = 5104^2 + 14578^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17207 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (14652057).

Almost surely, 2238568900 is an apocalyptic number.

238568900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238568900 is an abundant number, since it is smaller than the sum of its proper divisors (288905152).

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

238568900 is a wasteful number, since it uses less digits than its factorization.

238568900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45080 (or 45073 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 238568900 is about 15445.6757702601. The cubic root of 238568900 is about 620.2088266380.

The spelling of 238568900 in words is "two hundred thirty-eight million, five hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 45013 90026 180052 225065 450130 900260 1125325 2250650 2385689 4501300 4771378 9542756 11928445 23856890 47713780 59642225 119284450 238568900