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113332232 = 23132953709
BaseRepresentation
bin1101100000101…
…01000000001000
321220020212121002
412300111000020
5213003112412
615125034132
72544210446
oct660250010
9256225532
10113332232
1158a78202
1231b55948
131a630cc0
14110a1b96
159e39dc2
hex6c15008

113332232 has 64 divisors (see below), whose sum is σ = 241542000. Its totient is φ = 49480704.

The previous prime is 113332229. The next prime is 113332237. The reversal of 113332232 is 232233311.

It can be written as a sum of positive squares in 8 ways, for example, as 27102436 + 86229796 = 5206^2 + 9286^2 .

It is not an unprimeable number, because it can be changed into a prime (113332237) 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, 159494 + ... + 160202.

Almost surely, 2113332232 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 113332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120771000).

113332232 is an abundant number, since it is smaller than the sum of its proper divisors (128209768).

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

113332232 is a wasteful number, since it uses less digits than its factorization.

113332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 113332232 is about 10645.7612221954. The cubic root of 113332232 is about 483.9321558708.

Adding to 113332232 its reverse (232233311), we get a palindrome (345565543).

The spelling of 113332232 in words is "one hundred thirteen million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 29 52 53 58 104 106 116 212 232 377 424 689 709 754 1378 1418 1508 1537 2756 2836 3016 3074 5512 5672 6148 9217 12296 18434 19981 20561 36868 37577 39962 41122 73736 75154 79924 82244 150308 159848 164488 267293 300616 488501 534586 977002 1069172 1089733 1954004 2138344 2179466 3908008 4358932 8717864 14166529 28333058 56666116 113332232