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113552226 = 23329591229
BaseRepresentation
bin1101100010010…
…10101101100010
321220200001101000
412301022231202
5213032132401
615133452430
72546115024
oct661125542
9256601330
10113552226
1159108517
1232041116
131a6aa188
141111c014
159e80186
hex6c4ab62

113552226 has 64 divisors (see below), whose sum is σ = 265680000. Its totient is φ = 35896896.

The previous prime is 113552221. The next prime is 113552233. The reversal of 113552226 is 622255311.

It is a happy number.

113552226 is a `hidden beast` number, since 1 + 135 + 522 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 113552226.

It is not an unprimeable number, because it can be changed into a prime (113552221) 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 31 ways as a sum of consecutive naturals, for example, 91780 + ... + 93008.

It is an arithmetic number, because the mean of its divisors is an integer number (4151250).

Almost surely, 2113552226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113552226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132840000).

113552226 is an abundant number, since it is smaller than the sum of its proper divisors (152127774).

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

113552226 is a wasteful number, since it uses less digits than its factorization.

113552226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 113552226 is about 10656.0886820634. The cubic root of 113552226 is about 484.2450805553.

It can be divided in two parts, 1135 and 52226, that added together give a square (53361 = 2312).

The spelling of 113552226 in words is "one hundred thirteen million, five hundred fifty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 59 87 118 174 177 261 354 522 531 783 1062 1229 1566 1593 1711 2458 3186 3422 3687 5133 7374 10266 11061 15399 22122 30798 33183 35641 46197 66366 71282 72511 92394 106923 145022 213846 217533 320769 435066 641538 652599 962307 1305198 1924614 1957797 2102819 3915594 4205638 6308457 12616914 18925371 37850742 56776113 113552226