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232373640 = 23354741201
BaseRepresentation
bin11011101100110…
…11110110001000
3121012020210201010
431312123312020
5433441424030
635020323520
75521100112
oct1566336610
9535223633
10232373640
1110a194834
12659a35a0
13391b07c5
1422c0c3b2
15156016b0
hexdd9bd88

232373640 has 64 divisors (see below), whose sum is σ = 711970560. Its totient is φ = 60646400.

The previous prime is 232373611. The next prime is 232373651. The reversal of 232373640 is 46373232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232373598 and 232373607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14961 + ... + 26240.

It is an arithmetic number, because the mean of its divisors is an integer number (11124540).

Almost surely, 2232373640 is an apocalyptic number.

232373640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232373640 is an abundant number, since it is smaller than the sum of its proper divisors (479596920).

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

232373640 is a wasteful number, since it uses less digits than its factorization.

232373640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41262 (or 41258 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 232373640 is about 15243.8066112110. The cubic root of 232373640 is about 614.7930561574.

The spelling of 232373640 in words is "two hundred thirty-two million, three hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 41201 82402 123603 164804 206005 247206 329608 412010 494412 618015 824020 988824 1236030 1648040 1936447 2472060 3872894 4944120 5809341 7745788 9682235 11618682 15491576 19364470 23237364 29046705 38728940 46474728 58093410 77457880 116186820 232373640