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232134112 = 2571516863
BaseRepresentation
bin11011101011000…
…01010111100000
3121011210122010201
431311201113200
5433411242422
635011234544
75516051560
oct1565412740
9534718121
10232134112
1110a040881
12658a8a54
1339128782
1422b88da0
15155a5727
hexdd615e0

232134112 has 48 divisors (see below), whose sum is σ = 525837312. Its totient is φ = 98812800.

The previous prime is 232134079. The next prime is 232134113. The reversal of 232134112 is 211431232.

It is a happy number.

232134112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232134112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232134113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30393 + ... + 37255.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2232134112 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 232134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262918656).

232134112 is an abundant number, since it is smaller than the sum of its proper divisors (293703200).

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

232134112 is a wasteful number, since it uses less digits than its factorization.

232134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031 (or 7023 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 232134112 is about 15235.9480177638. The cubic root of 232134112 is about 614.5817430638.

Adding to 232134112 its reverse (211431232), we get a palindrome (443565344).

The spelling of 232134112 in words is "two hundred thirty-two million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 1057 1208 2114 2416 4228 4832 6863 8456 13726 16912 27452 33824 48041 54904 96082 109808 192164 219616 384328 768656 1036313 1537312 2072626 4145252 7254191 8290504 14508382 16581008 29016764 33162016 58033528 116067056 232134112