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112213304 = 23731371747
BaseRepresentation
bin1101011000000…
…11110100111000
321211011000201022
412230003310320
5212211311204
615045042012
72531540330
oct654036470
9254130638
10112213304
1158383575
12316b6308
131a32b908
1410c900c0
159cb85be
hex6b03d38

112213304 has 64 divisors (see below), whose sum is σ = 255068160. Its totient is φ = 45256320.

The previous prime is 112213291. The next prime is 112213307. The reversal of 112213304 is 403312211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213307) 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 15 ways as a sum of consecutive naturals, for example, 63359 + ... + 65105.

It is an arithmetic number, because the mean of its divisors is an integer number (3985440).

Almost surely, 2112213304 is an apocalyptic number.

112213304 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 112213304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127534080).

112213304 is an abundant number, since it is smaller than the sum of its proper divisors (142854856).

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

112213304 is a wasteful number, since it uses less digits than its factorization.

112213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 112213304 is about 10593.0781173368. The cubic root of 112213304 is about 482.3342665059.

Adding to 112213304 its reverse (403312211), we get a palindrome (515525515).

The spelling of 112213304 in words is "one hundred twelve million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 248 259 296 434 518 868 1036 1147 1736 1747 2072 2294 3494 4588 6988 8029 9176 12229 13976 16058 24458 32116 48916 54157 64232 64639 97832 108314 129278 216628 258556 379099 433256 452473 517112 758198 904946 1516396 1809892 2003809 3032792 3619784 4007618 8015236 14026663 16030472 28053326 56106652 112213304