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230768472 = 233111751419
BaseRepresentation
bin11011100000100…
…11111101011000
3121002020020211110
431300103331120
5433034042342
634522100320
75501333244
oct1560237530
9532206743
10230768472
11109298850
126534a6a0
1338a6acbc
1422911424
15153d5c9c
hexdc13f58

230768472 has 64 divisors (see below), whose sum is σ = 666403200. Its totient is φ = 65815040.

The previous prime is 230768467. The next prime is 230768479. The reversal of 230768472 is 274867032.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 230768472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230768479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21222 + ... + 30197.

It is an arithmetic number, because the mean of its divisors is an integer number (10412550).

Almost surely, 2230768472 is an apocalyptic number.

230768472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230768472 is an abundant number, since it is smaller than the sum of its proper divisors (435634728).

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

230768472 is a wasteful number, since it uses less digits than its factorization.

230768472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51456 (or 51452 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 230768472 is about 15191.0655320817. The cubic root of 230768472 is about 613.3741815369.

The spelling of 230768472 in words is "two hundred thirty million, seven hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 51419 102838 154257 205676 308514 411352 565609 617028 874123 1131218 1234056 1696827 1748246 2262436 2622369 3393654 3496492 4524872 5244738 6787308 6992984 9615353 10489476 13574616 19230706 20978952 28846059 38461412 57692118 76922824 115384236 230768472