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232730243440 = 24517210066187
BaseRepresentation
bin1101100010111111001…
…1011011000101110000
3211020201101000022202221
43120233303123011300
512303112420242230
6254525332450424
722546162300162
oct3305763330560
9736641008687
10232730243440
118a778178572
1239130a79a14
1318c3c229726
14b39ad92932
1560c1b0927a
hex362fcdb170

232730243440 has 60 divisors (see below), whose sum is σ = 574799467176. Its totient is φ = 87616082944.

The previous prime is 232730243411. The next prime is 232730243443. The reversal of 232730243440 is 44342037232.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 232730243396 and 232730243405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232730243443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5009974 + ... + 5056213.

Almost surely, 2232730243440 is an apocalyptic number.

232730243440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232730243440 is an abundant number, since it is smaller than the sum of its proper divisors (342069223736).

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

232730243440 is a wasteful number, since it uses less digits than its factorization.

232730243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10066234 (or 10066211 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 34.

The spelling of 232730243440 in words is "two hundred thirty-two billion, seven hundred thirty million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 11560 23120 10066187 20132374 40264748 50330935 80529496 100661870 161058992 171125179 201323740 342250358 402647480 684500716 805294960 855625895 1369001432 1711251790 2738002864 2909128043 3422503580 5818256086 6845007160 11636512172 13690014320 14545640215 23273024344 29091280430 46546048688 58182560860 116365121720 232730243440