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232112112 = 2437961211
BaseRepresentation
bin11011101010110…
…11111111110000
3121011202111221220
431311123333300
5433410041422
635010545040
75515630461
oct1565337760
9534674856
10232112112
1110a0262a1
1265898180
133911b75b
1422b80d68
151559de5c
hexdd5bff0

232112112 has 40 divisors (see below), whose sum is σ = 607223040. Its totient is φ = 76390080.

The previous prime is 232112081. The next prime is 232112119. The reversal of 232112112 is 211211232.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232112091 and 232112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26814 + ... + 34397.

It is an arithmetic number, because the mean of its divisors is an integer number (15180576).

Almost surely, 2232112112 is an apocalyptic number.

It is an amenable number.

232112112 is an abundant number, since it is smaller than the sum of its proper divisors (375110928).

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

232112112 is a wasteful number, since it uses less digits than its factorization.

232112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61301 (or 61295 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 232112112 is about 15235.2260239223. The cubic root of 232112112 is about 614.5623272394.

Adding to 232112112 its reverse (211211232), we get a palindrome (443323344).

The spelling of 232112112 in words is "two hundred thirty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 61211 122422 183633 244844 367266 489688 734532 979376 1469064 2938128 4835669 9671338 14507007 19342676 29014014 38685352 58028028 77370704 116056056 232112112