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112192002 = 2321332837
BaseRepresentation
bin1101010111111…
…10101000000010
321211002221111100
412223332220002
5212210121002
615044355230
72531421246
oct653765002
9254087440
10112192002
115836956a
12316a5b16
131a322000
1410c86426
159cb211c
hex6afea02

112192002 has 48 divisors (see below), whose sum is σ = 263423160. Its totient is φ = 34508448.

The previous prime is 112191997. The next prime is 112192019. The reversal of 112192002 is 200291211.

It can be written as a sum of positive squares in 4 ways, for example, as 1121481 + 111070521 = 1059^2 + 10539^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38128 + ... + 40964.

Almost surely, 2112192002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112192002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131711580).

112192002 is an abundant number, since it is smaller than the sum of its proper divisors (151231158).

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

112192002 is a wasteful number, since it uses less digits than its factorization.

112192002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 112192002 is about 10592.0726017149. The cubic root of 112192002 is about 482.3037432839.

The spelling of 112192002 in words is "one hundred twelve million, one hundred ninety-two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2197 2837 3042 4394 5674 6591 8511 13182 17022 19773 25533 36881 39546 51066 73762 110643 221286 331929 479453 663858 958906 1438359 2876718 4315077 6232889 8630154 12465778 18698667 37397334 56096001 112192002