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232857040 = 245134143127
BaseRepresentation
bin11011110000100…
…01110111010000
3121020011100210211
431320101313100
5434102411130
635034533504
75525152333
oct1570216720
9536140724
10232857040
1110a494a39
1265b97294
133931c840
1422cd661a
1515699a2a
hexde11dd0

232857040 has 160 divisors (see below), whose sum is σ = 615960576. Its totient is φ = 81285120.

The previous prime is 232857017. The next prime is 232857049. The reversal of 232857040 is 40758232.

232857040 is digitally balanced in base 2, 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 = 232856993 and 232857011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232857049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833457 + ... + 1833583.

Almost surely, 2232857040 is an apocalyptic number.

232857040 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 232857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307980288).

232857040 is an abundant number, since it is smaller than the sum of its proper divisors (383103536).

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

232857040 is a wasteful number, since it uses less digits than its factorization.

232857040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 232857040 is about 15259.6539934561. The cubic root of 232857040 is about 615.2190728117.

The spelling of 232857040 in words is "two hundred thirty-two million, eight hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 43 52 65 80 82 86 104 127 130 164 172 205 208 215 254 260 328 344 410 430 508 520 533 559 635 656 688 820 860 1016 1040 1066 1118 1270 1640 1651 1720 1763 2032 2132 2236 2540 2665 2795 3280 3302 3440 3526 4264 4472 5080 5207 5330 5461 5590 6604 7052 8255 8528 8815 8944 10160 10414 10660 10922 11180 13208 14104 16510 17630 20828 21320 21844 22360 22919 26035 26416 27305 28208 33020 35260 41656 42640 43688 44720 45838 52070 54610 66040 67691 70520 70993 83312 87376 91676 104140 109220 114595 132080 135382 141040 141986 183352 208280 218440 223901 229190 270764 283972 338455 354965 366704 416560 436880 447802 458380 541528 567944 676910 709930 895604 916760 1083056 1119505 1135888 1353820 1419860 1791208 1833520 2239010 2707640 2839720 2910713 3582416 4478020 5415280 5679440 5821426 8956040 11642852 14553565 17912080 23285704 29107130 46571408 58214260 116428520 232857040