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230770592 = 25132389271
BaseRepresentation
bin11011100000101…
…00011110100000
3121002020100201222
431300110132200
5433034124332
634522114212
75501342363
oct1560243640
9532210658
10230770592
1110929a3a8
126534b968
1338a6bc60
14229120da
15153d6712
hexdc147a0

230770592 has 96 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 100362240.

The previous prime is 230770571. The next prime is 230770619. The reversal of 230770592 is 295077032.

It is a super-2 number, since 2×2307705922 = 106510132264060928, which contains 22 as substring.

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, 851417 + ... + 851687.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2230770592 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 230770592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

230770592 is an abundant number, since it is smaller than the sum of its proper divisors (287422048).

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

230770592 is a wasteful number, since it uses less digits than its factorization.

230770592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 230770592 is about 15191.1353097785. The cubic root of 230770592 is about 613.3760598254.

The spelling of 230770592 in words is "two hundred thirty million, seven hundred seventy thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 89 92 104 178 184 208 271 299 356 368 416 542 598 712 736 1084 1157 1196 1424 2047 2168 2314 2392 2848 3523 4094 4336 4628 4784 6233 7046 8188 8672 9256 9568 12466 14092 16376 18512 24119 24932 26611 28184 32752 37024 48238 49864 53222 56368 65504 81029 96476 99728 106444 112736 162058 192952 199456 212888 313547 324116 385904 425776 554737 627094 648232 771808 851552 1109474 1254188 1296464 2218948 2508376 2592928 4437896 5016752 7211581 8875792 10033504 14423162 17751584 28846324 57692648 115385296 230770592