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239225856 = 2103431811
BaseRepresentation
bin11100100001001…
…00110000000000
3121200010221011220
432100210300000
5442220211411
635423235040
75633246322
oct1620446000
9550127156
10239225856
11113044a21
1268148a80
133a73c67c
1423ab3612
1516006b06
hexe424c00

239225856 has 88 divisors (see below), whose sum is σ = 652812864. Its totient is φ = 77844480.

The previous prime is 239225851. The next prime is 239225869. The reversal of 239225856 is 658522932.

239225856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (239225851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131191 + ... + 133001.

It is an arithmetic number, because the mean of its divisors is an integer number (7418328).

Almost surely, 2239225856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326406432).

239225856 is an abundant number, since it is smaller than the sum of its proper divisors (413587008).

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

239225856 is a wasteful number, since it uses less digits than its factorization.

239225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1859 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 239225856 is about 15466.9278138873. The cubic root of 239225856 is about 620.7776021961. Note that the first 3 decimals are identical.

The spelling of 239225856 in words is "two hundred thirty-nine million, two hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 1811 2064 2752 3072 3622 4128 5433 5504 7244 8256 10866 11008 14488 16512 21732 22016 28976 33024 43464 44032 57952 66048 77873 86928 115904 132096 155746 173856 231808 233619 311492 347712 463616 467238 622984 695424 927232 934476 1245968 1390848 1854464 1868952 2491936 2781696 3737904 4983872 5563392 7475808 9967744 14951616 19935488 29903232 39870976 59806464 79741952 119612928 239225856