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112232204 = 22729891553
BaseRepresentation
bin1101011000010…
…00011100001100
321211011222122022
412230020130030
5212212412304
615045305312
72531646410
oct654103414
9254158568
10112232204
1158396797
1231705238
131a3373b6
1410c96d40
159cbdebe
hex6b0870c

112232204 has 48 divisors (see below), whose sum is σ = 234964800. Its totient is φ = 45889536.

The previous prime is 112232189. The next prime is 112232207. The reversal of 112232204 is 402232211.

It is a super-2 number, since 2×1122322042 = 25192135229395232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112232207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71492 + ... + 73044.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2112232204 is an apocalyptic number.

112232204 is a gapful number since it is divisible by the number (14) 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 112232204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482400).

112232204 is an abundant number, since it is smaller than the sum of its proper divisors (122732596).

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

112232204 is a wasteful number, since it uses less digits than its factorization.

112232204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 112232204 is about 10593.9701717534. The cubic root of 112232204 is about 482.3613447148.

Adding to 112232204 its reverse (402232211), we get a palindrome (514464415).

The spelling of 112232204 in words is "one hundred twelve million, two hundred thirty-two thousand, two hundred four".

Divisors: 1 2 4 7 14 28 29 58 89 116 178 203 356 406 623 812 1246 1553 2492 2581 3106 5162 6212 10324 10871 18067 21742 36134 43484 45037 72268 90074 138217 180148 276434 315259 552868 630518 967519 1261036 1935038 3870076 4008293 8016586 16033172 28058051 56116102 112232204