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230891520 = 213351879
BaseRepresentation
bin11011100001100…
…10000000000000
3121002110111121210
431300302000000
5433102012040
634524450120
75502355056
oct1560620000
9532414553
10230891520
11109372242
12653a9940
1338ab2002
14229441d6
151540c480
hexdc32000

230891520 has 112 divisors (see below), whose sum is σ = 739200960. Its totient is φ = 61538304.

The previous prime is 230891513. The next prime is 230891597. The reversal of 230891520 is 25198032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

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, 121941 + ... + 123819.

Almost surely, 2230891520 is an apocalyptic number.

230891520 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 230891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369600480).

230891520 is an abundant number, since it is smaller than the sum of its proper divisors (508309440).

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

230891520 is an equidigital number, since it uses as much as digits as its factorization.

230891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 230891520 is about 15195.1150045006. The cubic root of 230891520 is about 613.4831811980.

The spelling of 230891520 in words is "two hundred thirty million, eight hundred ninety-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1879 1920 2048 2560 3072 3758 3840 4096 5120 5637 6144 7516 7680 8192 9395 10240 11274 12288 15032 15360 18790 20480 22548 24576 28185 30064 30720 37580 40960 45096 56370 60128 61440 75160 90192 112740 120256 122880 150320 180384 225480 240512 300640 360768 450960 481024 601280 721536 901920 962048 1202560 1443072 1803840 1924096 2405120 2886144 3607680 3848192 4810240 5772288 7215360 7696384 9620480 11544576 14430720 15392768 19240960 23089152 28861440 38481920 46178304 57722880 76963840 115445760 230891520