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113244252 = 223115316187
BaseRepresentation
bin1101011111111…
…11100001011100
321220002101220120
412233333201130
5212442304002
615123114540
72543363112
oct657774134
9256071816
10113244252
1158a180a0
1231b12a50
131a5ccc44
141107bab2
159e1dcbc
hex6bff85c

113244252 has 48 divisors (see below), whose sum is σ = 293715072. Its totient is φ = 33666880.

The previous prime is 113244251. The next prime is 113244289. The reversal of 113244252 is 252442311.

It is a super-2 number, since 2×1132442522 = 25648521222079008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113244251) 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, 1098 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (6119064).

Almost surely, 2113244252 is an apocalyptic number.

113244252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113244252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146857536).

113244252 is an abundant number, since it is smaller than the sum of its proper divisors (180470820).

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

113244252 is a wasteful number, since it uses less digits than its factorization.

113244252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16258 (or 16256 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 113244252 is about 10641.6282588709. The cubic root of 113244252 is about 483.8068976736.

Adding to 113244252 its reverse (252442311), we get a palindrome (365686563).

It can be divided in two parts, 11324 and 4252, that added together give a triangular number (15576 = T176).

The spelling of 113244252 in words is "one hundred thirteen million, two hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 16187 32374 48561 64748 97122 178057 194244 356114 534171 712228 857911 1068342 1715822 2136684 2573733 3431644 5147466 9437021 10294932 18874042 28311063 37748084 56622126 113244252