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230511120 = 24357137209
BaseRepresentation
bin11011011110101…
…01001000010000
3121001202011210220
431233111020100
5433002323440
634512353040
75466212040
oct1557251020
9531664726
10230511120
11109132464
1265245780
13389aab18
1422885720
15153848d0
hexdbd5210

230511120 has 80 divisors (see below), whose sum is σ = 816673920. Its totient is φ = 52687872.

The previous prime is 230511119. The next prime is 230511139. The reversal of 230511120 is 21115032.

230511120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230511120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66925 + ... + 70284.

It is an arithmetic number, because the mean of its divisors is an integer number (10208424).

Almost surely, 2230511120 is an apocalyptic number.

230511120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230511120 is an abundant number, since it is smaller than the sum of its proper divisors (586162800).

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

230511120 is a wasteful number, since it uses less digits than its factorization.

230511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137232 (or 137226 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 230511120 is about 15182.5926639688. The cubic root of 230511120 is about 613.1460859824.

Adding to 230511120 its reverse (21115032), we get a palindrome (251626152).

The spelling of 230511120 in words is "two hundred thirty million, five hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 137209 274418 411627 548836 686045 823254 960463 1097672 1372090 1646508 1920926 2058135 2195344 2744180 2881389 3293016 3841852 4116270 4802315 5488360 5762778 6586032 7683704 8232540 9604630 10976720 11525556 14406945 15367408 16465080 19209260 23051112 28813890 32930160 38418520 46102224 57627780 76837040 115255560 230511120