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230863520 = 2551133
BaseRepresentation
bin11011100001010…
…11001010100000
3121002102002012202
431300223022200
5433100113040
634524112332
75502210326
oct1560531240
9532362182
10230863520
111093531a8
12653956a8
1338aa2344
1422937d16
1515404015
hexdc2b2a0

230863520 has 48 divisors (see below), whose sum is σ = 550284840. Its totient is φ = 91528192.

The previous prime is 230863513. The next prime is 230863531. The reversal of 230863520 is 25368032.

It can be written as a sum of positive squares in 4 ways, for example, as 15713296 + 215150224 = 3964^2 + 14668^2 .

It is a super-3 number, since 3×2308635203 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042984 + ... + 2043096.

Almost surely, 2230863520 is an apocalyptic number.

230863520 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 230863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275142420).

230863520 is an abundant number, since it is smaller than the sum of its proper divisors (319421320).

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

230863520 is an frugal number, since it uses more digits than its factorization.

230863520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 230863520 is about 15194.1936278303. The cubic root of 230863520 is about 613.4583813504.

The spelling of 230863520 in words is "two hundred thirty million, eight hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 12769 18080 25538 51076 63845 102152 127690 204304 255380 408608 510760 1021520 1442897 2043040 2885794 5771588 7214485 11543176 14428970 23086352 28857940 46172704 57715880 115431760 230863520