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232265540 = 225134783229
BaseRepresentation
bin11011101100000…
…01011101000100
3121012001022102102
431312001131010
5433424444130
635014131232
75520140003
oct1566013504
9535038372
10232265540
1110a1205a1
1265950b18
1339173540
1422bc0c3a
15155ce645
hexdd81744

232265540 has 96 divisors (see below), whose sum is σ = 545287680. Its totient is φ = 82561536.

The previous prime is 232265507. The next prime is 232265563. The reversal of 232265540 is 45562232.

232265540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014146 + ... + 1014374.

It is an arithmetic number, because the mean of its divisors is an integer number (5680080).

Almost surely, 2232265540 is an apocalyptic number.

232265540 is a gapful number since it is divisible by the number (20) 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 232265540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272643840).

232265540 is an abundant number, since it is smaller than the sum of its proper divisors (313022140).

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

232265540 is a wasteful number, since it uses less digits than its factorization.

232265540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 232265540 is about 15240.2604964613. The cubic root of 232265540 is about 614.6977076522.

The spelling of 232265540 in words is "two hundred thirty-two million, two hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 83 94 130 166 188 229 235 260 332 415 458 470 611 830 916 940 1079 1145 1222 1660 2158 2290 2444 2977 3055 3901 4316 4580 5395 5954 6110 7802 10763 10790 11908 12220 14885 15604 19007 19505 21526 21580 29770 38014 39010 43052 50713 53815 59540 76028 78020 95035 101426 107630 139919 190070 202852 215260 247091 253565 279838 380140 494182 507130 559676 699595 893329 988364 1014260 1235455 1399190 1786658 2470910 2798380 3573316 4466645 4941820 8933290 11613277 17866580 23226554 46453108 58066385 116132770 232265540