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230083132160 = 2857227113123
BaseRepresentation
bin1101011001001000000…
…1011111101100000000
3210222212220000010202102
43112102001133230000
512232202240212120
6253410532005532
722423450232450
oct3262201375400
9728786003672
10230083132160
1189639a256a2
12387124608a8
13189099a01ab
14b1c95a9d60
155eb951ed75
hex359205fb00

230083132160 has 144 divisors (see below), whose sum is σ = 632632847616. Its totient is φ = 78537437184.

The previous prime is 230083132129. The next prime is 230083132199. The reversal of 230083132160 is 61231380032.

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, 1977359 + ... + 2090481.

It is an arithmetic number, because the mean of its divisors is an integer number (4393283664).

Almost surely, 2230083132160 is an apocalyptic number.

230083132160 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 230083132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316316423808).

230083132160 is an abundant number, since it is smaller than the sum of its proper divisors (402549715456).

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

230083132160 is a wasteful number, since it uses less digits than its factorization.

230083132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113378 (or 113364 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 230083132160 in words is "two hundred thirty billion, eighty-three million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 227 256 280 320 448 454 560 640 896 908 1120 1135 1280 1589 1792 1816 2240 2270 3178 3632 4480 4540 6356 7264 7945 8960 9080 12712 14528 15890 18160 25424 29056 31780 36320 50848 58112 63560 72640 101696 113123 127120 145280 203392 226246 254240 290560 406784 452492 508480 565615 791861 904984 1016960 1131230 1583722 1809968 2033920 2262460 3167444 3619936 3959305 4524920 6334888 7239872 7918610 9049840 12669776 14479744 15837220 18099680 25339552 25678921 28959488 31674440 36199360 50679104 51357842 63348880 72398720 101358208 102715684 126697760 128394605 144797440 179752447 202716416 205431368 253395520 256789210 359504894 410862736 506791040 513578420 719009788 821725472 898762235 1013582080 1027156840 1438019576 1643450944 1797524470 2054313680 2876039152 3286901888 3595048940 4108627360 5752078304 6573803776 7190097880 8217254720 11504156608 14380195760 16434509440 23008313216 28760391520 32869018880 46016626432 57520783040 115041566080 230083132160