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232424112 = 24319318221
BaseRepresentation
bin11011101101010…
…00001010110000
3121012100100221110
431312220022300
5434000032422
635021353320
75521400214
oct1566501260
9535310843
10232424112
1110a219748
1265a08840
13391ca77b
1422c22944
151561160c
hexdda82b0

232424112 has 80 divisors (see below), whose sum is σ = 652497920. Its totient is φ = 71020800.

The previous prime is 232424111. The next prime is 232424113. The reversal of 232424112 is 211424232.

It is an interprime number because it is at equal distance from previous prime (232424111) and next prime (232424113).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232424111) by changing a digit.

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, 24162 + ... + 32382.

It is an arithmetic number, because the mean of its divisors is an integer number (8156224).

Almost surely, 2232424112 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 232424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326248960).

232424112 is an abundant number, since it is smaller than the sum of its proper divisors (420073808).

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

232424112 is a wasteful number, since it uses less digits than its factorization.

232424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8276 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 232424112 is about 15245.4620133337. The cubic root of 232424112 is about 614.8375643451.

Adding to 232424112 its reverse (211424232), we get a palindrome (443848344).

The spelling of 232424112 in words is "two hundred thirty-two million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 8221 9424 14136 16442 24663 28272 32884 49326 65768 98652 131536 156199 197304 254851 312398 394608 468597 509702 624796 764553 937194 1019404 1249592 1529106 1874388 2038808 2499184 3058212 3748776 4077616 4842169 6116424 7497552 9684338 12232848 14526507 19368676 29053014 38737352 58106028 77474704 116212056 232424112