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232023144 = 23367313461
BaseRepresentation
bin11011101010001…
…10010001101000
3121011120222220210
431311012101220
5433344220034
635005021120
75515110213
oct1565062150
9534528823
10232023144
11109a75471
12658547a0
13390ba102
1422b5a77a
15155828e9
hexdd46468

232023144 has 64 divisors (see below), whose sum is σ = 591877440. Its totient is φ = 75778560.

The previous prime is 232023137. The next prime is 232023151. The reversal of 232023144 is 441320232.

It is an interprime number because it is at equal distance from previous prime (232023137) and next prime (232023151).

It is a self number, because there is not a number n which added to its sum of digits gives 232023144.

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, 503074 + ... + 503534.

It is an arithmetic number, because the mean of its divisors is an integer number (9248085).

Almost surely, 2232023144 is an apocalyptic number.

232023144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232023144 is an abundant number, since it is smaller than the sum of its proper divisors (359854296).

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

232023144 is a wasteful number, since it uses less digits than its factorization.

232023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232023144 is about 15232.3059318017. The cubic root of 232023144 is about 614.4837971304.

Adding to 232023144 its reverse (441320232), we get a palindrome (673343376).

The spelling of 232023144 in words is "two hundred thirty-two million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 313 402 461 536 626 804 922 939 1252 1383 1608 1844 1878 2504 2766 3688 3756 5532 7512 11064 20971 30887 41942 61774 62913 83884 92661 123548 125826 144293 167768 185322 247096 251652 288586 370644 432879 503304 577172 741288 865758 1154344 1731516 3463032 9667631 19335262 29002893 38670524 58005786 77341048 116011572 232023144