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112922472 = 233131943443
BaseRepresentation
bin1101011101100…
…00111101101000
321212111001111210
412232300331220
5212402004342
615112153120
72540553015
oct656607550
9255431453
10112922472
1158818363
12319987a0
131a519640
1410dd670c
159da879c
hex6bb0f68

112922472 has 128 divisors (see below), whose sum is σ = 328204800. Its totient is φ = 32078592.

The previous prime is 112922441. The next prime is 112922473. The reversal of 112922472 is 274229211.

It is not an unprimeable number, because it can be changed into a prime (112922473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254683 + ... + 255125.

It is an arithmetic number, because the mean of its divisors is an integer number (2564100).

Almost surely, 2112922472 is an apocalyptic number.

112922472 is a gapful number since it is divisible by the number (12) 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 112922472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164102400).

112922472 is an abundant number, since it is smaller than the sum of its proper divisors (215282328).

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

112922472 is a wasteful number, since it uses less digits than its factorization.

112922472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 112922472 is about 10626.4985766714. The cubic root of 112922472 is about 483.3482222392.

The spelling of 112922472 in words is "one hundred twelve million, nine hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 43 52 57 76 78 86 104 114 129 152 156 172 228 247 258 312 344 443 456 494 516 559 741 817 886 988 1032 1118 1329 1482 1634 1677 1772 1976 2236 2451 2658 2964 3268 3354 3544 4472 4902 5316 5759 5928 6536 6708 8417 9804 10621 10632 11518 13416 16834 17277 19049 19608 21242 23036 25251 31863 33668 34554 38098 42484 46072 50502 57147 63726 67336 69108 76196 84968 101004 109421 114294 127452 138216 152392 202008 218842 228588 247637 254904 328263 361931 437684 457176 495274 656526 723862 742911 875368 990548 1085793 1313052 1447724 1485822 1981096 2171586 2626104 2895448 2971644 4343172 4705103 5943288 8686344 9410206 14115309 18820412 28230618 37640824 56461236 112922472