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238105656 = 2334379931
BaseRepresentation
bin11100011000100…
…11010000111000
3121121001000120000
432030103100320
5441423340111
635343233000
75620602405
oct1614232070
9547030500
10238105656
1111244a338
12678a8760
133a439829
14238a12ac
1515d84c56
hexe313438

238105656 has 80 divisors (see below), whose sum is σ = 685010040. Its totient is φ = 77215680.

The previous prime is 238105607. The next prime is 238105661. The reversal of 238105656 is 656501832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 238105656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19011 + ... + 28941.

Almost surely, 2238105656 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 238105656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342505020).

238105656 is an abundant number, since it is smaller than the sum of its proper divisors (446904384).

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

238105656 is a wasteful number, since it uses less digits than its factorization.

238105656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 238105656 is about 15430.6725712135. The cubic root of 238105656 is about 619.8071339058.

The spelling of 238105656 in words is "two hundred thirty-eight million, one hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5994 7992 9931 11988 19862 23976 29793 39724 59586 79448 89379 119172 178758 238344 268137 357516 367447 536274 715032 734894 804411 1072548 1102341 1469788 1608822 2145096 2204682 2939576 3217644 3307023 4409364 6435288 6614046 8818728 9921069 13228092 19842138 26456184 29763207 39684276 59526414 79368552 119052828 238105656