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112922914320 = 24335198333151
BaseRepresentation
bin110100100101010111…
…0101110111000010000
3101210110210101102001000
41221022232232320100
53322231231224240
6123513121542000
711105222635356
oct1511256567020
9353423342030
10112922914320
114398804a987
1219a757a4900
13a857c316c8
1456734817d6
152e0da11430
hex1a4abaee10

112922914320 has 320 divisors, whose sum is σ = 414373478400. Its totient is φ = 28183334400.

The previous prime is 112922914297. The next prime is 112922914361. The reversal of 112922914320 is 23419229211.

112922914320 is a `hidden beast` number, since 11 + 292 + 29 + 14 + 320 = 666.

It is a super-2 number, since 2×1129229143202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3389745 + ... + 3422895.

It is an arithmetic number, because the mean of its divisors is an integer number (1294917120).

Almost surely, 2112922914320 is an apocalyptic number.

112922914320 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 112922914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207186739200).

112922914320 is an abundant number, since it is smaller than the sum of its proper divisors (301450564080).

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

112922914320 is a wasteful number, since it uses less digits than its factorization.

112922914320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33275 (or 33263 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 112922914320 in words is "one hundred twelve billion, nine hundred twenty-two million, nine hundred fourteen thousand, three hundred twenty".