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230152920 = 23356772833
BaseRepresentation
bin11011011011111…
…01101011011000
3121001001222110020
431231331223120
5432404343140
634500550440
75463160524
oct1555755330
9531058406
10230152920
11108a08328
12650b2420
13388b3a7a
14227d0d84
15153136d0
hexdb7dad8

230152920 has 64 divisors (see below), whose sum is σ = 691722720. Its totient is φ = 61261824.

The previous prime is 230152907. The next prime is 230152921. The reversal of 230152920 is 29251032.

It is a super-3 number, since 3×2301529203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230152921) 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, 79824 + ... + 82656.

Almost surely, 2230152920 is an apocalyptic number.

230152920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230152920 is an abundant number, since it is smaller than the sum of its proper divisors (461569800).

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

230152920 is a wasteful number, since it uses less digits than its factorization.

230152920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 230152920 is about 15170.7916734757. The cubic root of 230152920 is about 612.8283243208.

The spelling of 230152920 in words is "two hundred thirty million, one hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 677 1354 2031 2708 2833 3385 4062 5416 5666 6770 8124 8499 10155 11332 13540 14165 16248 16998 20310 22664 27080 28330 33996 40620 42495 56660 67992 81240 84990 113320 169980 339960 1917941 3835882 5753823 7671764 9589705 11507646 15343528 19179410 23015292 28769115 38358820 46030584 57538230 76717640 115076460 230152920