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230907468 = 223113173773
BaseRepresentation
bin11011100001101…
…01111001001100
3121002111022111110
431300311321030
5433103014333
634525052020
75502452421
oct1560657114
9532438443
10230907468
11109383220
12653b7010
1338ab934c
1422949d48
1515412063
hexdc35e4c

230907468 has 96 divisors (see below), whose sum is σ = 615831552. Its totient is φ = 66700800.

The previous prime is 230907431. The next prime is 230907487. The reversal of 230907468 is 864709032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298330 + ... + 299102.

It is an arithmetic number, because the mean of its divisors is an integer number (6414912).

Almost surely, 2230907468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230907468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307915776).

230907468 is an abundant number, since it is smaller than the sum of its proper divisors (384924084).

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

230907468 is a wasteful number, since it uses less digits than its factorization.

230907468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 230907468 is about 15195.6397693549. The cubic root of 230907468 is about 613.4973055864.

The spelling of 230907468 in words is "two hundred thirty million, nine hundred seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 73 93 124 132 146 186 219 292 341 372 438 682 773 803 876 1023 1364 1546 1606 2046 2263 2319 2409 3092 3212 4092 4526 4638 4818 6789 8503 9052 9276 9636 13578 17006 23963 24893 25509 27156 34012 47926 49786 51018 56429 71889 74679 95852 99572 102036 112858 143778 149358 169287 225716 263593 287556 298716 338574 527186 620719 677148 790779 1054372 1241438 1581558 1749299 1862157 2482876 3163116 3498598 3724314 5247897 6997196 7448628 10495794 19242289 20991588 38484578 57726867 76969156 115453734 230907468