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232268076 = 2232172329569
BaseRepresentation
bin11011101100000…
…10000100101100
3121012001102220100
431312002010230
5433430034301
635014151100
75520150255
oct1566020454
9535042810
10232268076
1110a122497
1265952490
1339174741
1422bc1b2c
15155d0286
hexdd8212c

232268076 has 144 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 67178496.

The previous prime is 232268063. The next prime is 232268081. The reversal of 232268076 is 670862232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 232268076.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407920 + ... + 408488.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2232268076 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 232268076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

232268076 is an abundant number, since it is smaller than the sum of its proper divisors (439967124).

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

232268076 is a wasteful number, since it uses less digits than its factorization.

232268076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 232268076 is about 15240.3436969118. The cubic root of 232268076 is about 614.6999448441.

The spelling of 232268076 in words is "two hundred thirty-two million, two hundred sixty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 29 34 36 46 51 58 68 69 87 92 102 116 138 153 174 204 207 261 276 306 348 391 414 493 522 569 612 667 782 828 986 1044 1138 1173 1334 1479 1564 1707 1972 2001 2276 2346 2668 2958 3414 3519 4002 4437 4692 5121 5916 6003 6828 7038 8004 8874 9673 10242 11339 12006 13087 14076 16501 17748 19346 20484 22678 24012 26174 29019 33002 34017 38692 39261 45356 49503 52348 58038 66004 68034 78522 87057 99006 102051 116076 117783 136068 148509 157044 174114 198012 204102 222479 235566 280517 297018 348228 379523 408204 444958 471132 561034 594036 667437 759046 841551 889916 1122068 1138569 1334874 1518092 1683102 2002311 2277138 2524653 2669748 3366204 3415707 4004622 4554276 5049306 6451891 6831414 8009244 10098612 12903782 13662828 19355673 25807564 38711346 58067019 77422692 116134038 232268076