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232025748136 = 237131523209269
BaseRepresentation
bin1101100000010111001…
…1111111001010101000
3211011220021101020220021
43120011303333022220
512300142042420021
6254331405010224
722522546214050
oct3300563771250
9734807336807
10232025748136
118a446538846
1238b74b53974
1318b592a51c0
14b3315a8560
15607ed49c41
hex3605cff2a8

232025748136 has 64 divisors (see below), whose sum is σ = 535798166400. Its totient is φ = 91729698048.

The previous prime is 232025748131. The next prime is 232025748137. The reversal of 232025748136 is 631847520232.

232025748136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232025748092 and 232025748101.

It is not an unprimeable number, because it can be changed into a prime (232025748131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004110 + ... + 1213378.

It is an arithmetic number, because the mean of its divisors is an integer number (8371846350).

Almost surely, 2232025748136 is an apocalyptic number.

232025748136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232025748136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267899083200).

232025748136 is an abundant number, since it is smaller than the sum of its proper divisors (303772418264).

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

232025748136 is a wasteful number, since it uses less digits than its factorization.

232025748136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210818 (or 210814 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 232025748136 in words is "two hundred thirty-two billion, twenty-five million, seven hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1523 3046 6092 10661 12184 19799 21322 39598 42644 79196 85288 138593 158392 209269 277186 418538 554372 837076 1108744 1464883 1674152 2720497 2929766 5440994 5859532 10881988 11719064 19043479 21763976 38086958 76173916 152347832 318716687 637433374 1274866748 2231016809 2549733496 4143316931 4462033618 8286633862 8924067236 16573267724 17848134472 29003218517 33146535448 58006437034 116012874068 232025748136