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112297920 = 2635717983
BaseRepresentation
bin1101011000110…
…00011111000000
321211022022210020
412230120133000
5212222013140
615050533440
72532342120
oct654303700
9254268706
10112297920
11584310a9
1231737280
131a35b297
1410cb2c80
159cd36d0
hex6b187c0

112297920 has 224 divisors, whose sum is σ = 431889408. Its totient is φ = 24133632.

The previous prime is 112297919. The next prime is 112297943. The reversal of 112297920 is 29792211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1122979202 = 25221645672652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113749 + ... + 114731.

Almost surely, 2112297920 is an apocalyptic number.

112297920 is a gapful number since it is divisible by the number (10) 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 112297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215944704).

112297920 is an abundant number, since it is smaller than the sum of its proper divisors (319591488).

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

112297920 is a wasteful number, since it uses less digits than its factorization.

112297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 112297920 is about 10597.0712935226. The cubic root of 112297920 is about 482.4554729955.

The spelling of 112297920 in words is "one hundred twelve million, two hundred ninety-seven thousand, nine hundred twenty".