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230658740 = 225133723977
BaseRepresentation
bin11011011111110…
…01001010110100
3121002000200022022
431233321022310
5433022034430
634515452312
75500365314
oct1557711264
9532020268
10230658740
11109223364
12652b7098
1338a30080
14228c3444
15153b34e5
hexdbf92b4

230658740 has 48 divisors (see below), whose sum is σ = 535764432. Its totient is φ = 82861056.

The previous prime is 230658679. The next prime is 230658761. The reversal of 230658740 is 47856032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1196836 + 229461904 = 1094^2 + 15148^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230658740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (11161759).

Almost surely, 2230658740 is an apocalyptic number.

230658740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230658740 is an abundant number, since it is smaller than the sum of its proper divisors (305105692).

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

230658740 is a wasteful number, since it uses less digits than its factorization.

230658740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24036 (or 24034 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 230658740 is about 15187.4533744140. The cubic root of 230658740 is about 613.2769449052.

The spelling of 230658740 in words is "two hundred thirty million, six hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 23977 47954 95908 119885 239770 311701 479540 623402 887149 1246804 1558505 1774298 3117010 3548596 4435745 6234020 8871490 11532937 17742980 23065874 46131748 57664685 115329370 230658740