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230503392 = 25327432659
BaseRepresentation
bin11011011110100…
…11001111100000
3121001201210012200
431233103033200
5433002102032
634512253200
75466150360
oct1557231740
9531653180
10230503392
11109127679
1265241200
13389a7452
14228829a0
151538247c
hexdbd33e0

230503392 has 144 divisors (see below), whose sum is σ = 766846080. Its totient is φ = 64302336.

The previous prime is 230503381. The next prime is 230503411. The reversal of 230503392 is 293305032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85359 + ... + 88017.

It is an arithmetic number, because the mean of its divisors is an integer number (5325320).

Almost surely, 2230503392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230503392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423040).

230503392 is an abundant number, since it is smaller than the sum of its proper divisors (536342688).

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

230503392 is a wasteful number, since it uses less digits than its factorization.

230503392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 230503392 is about 15182.3381598488. The cubic root of 230503392 is about 613.1392338966.

The spelling of 230503392 in words is "two hundred thirty million, five hundred three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1008 1032 1204 1376 1548 1806 2016 2064 2408 2659 2709 3096 3612 4128 4816 5318 5418 6192 7224 7977 9632 10636 10836 12384 14448 15954 18613 21272 21672 23931 28896 31908 37226 42544 43344 47862 55839 63816 74452 85088 86688 95724 111678 114337 127632 148904 167517 191448 223356 228674 255264 297808 335034 343011 382896 446712 457348 595616 670068 686022 765792 800359 893424 914696 1029033 1340136 1372044 1600718 1786848 1829392 2058066 2401077 2680272 2744088 3201436 3658784 4116132 4802154 5360544 5488176 6402872 7203231 8232264 9604308 10976352 12805744 14406462 16464528 19208616 25611488 28812924 32929056 38417232 57625848 76834464 115251696 230503392