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112274448 = 243112131487
BaseRepresentation
bin1101011000100…
…10110000010000
321211021010120220
412230102300100
5212220240243
615050233040
72532213516
oct654226020
9254233526
10112274448
1158415500
1231725780
131a3506b0
1410ca84b6
159ccb783
hex6b12c10

112274448 has 120 divisors (see below), whose sum is σ = 343561344. Its totient is φ = 31384320.

The previous prime is 112274447. The next prime is 112274453. The reversal of 112274448 is 844472211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (112274447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74761 + ... + 76247.

Almost surely, 2112274448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112274448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171780672).

112274448 is an abundant number, since it is smaller than the sum of its proper divisors (231286896).

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

112274448 is a wasteful number, since it uses less digits than its factorization.

112274448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1516 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 112274448 is about 10595.9637598474. The cubic root of 112274448 is about 482.4218571045.

The spelling of 112274448 in words is "one hundred twelve million, two hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1452 1487 1573 1716 1936 2288 2904 2974 3146 3432 4461 4719 5808 5948 6292 6864 8922 9438 11896 12584 16357 17844 18876 19331 23792 25168 32714 35688 37752 38662 49071 57993 65428 71376 75504 77324 98142 115986 130856 154648 179927 196284 212641 231972 261712 309296 359854 392568 425282 463944 539781 637923 719708 785136 850564 927888 1079562 1275846 1439416 1701128 2159124 2339051 2551692 2878832 3402256 4318248 4678102 5103384 7017153 8636496 9356204 10206768 14034306 18712408 28068612 37424816 56137224 112274448