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112251552 = 25374487
BaseRepresentation
bin1101011000011…
…01001010100000
321211012222011220
412230031022200
5212214022202
615045535040
72532060000
oct654151240
9254188156
10112251552
11583aa286
1231714480
131a34314a
1410ca0000
159cc4abc
hex6b0d2a0

112251552 has 120 divisors (see below), whose sum is σ = 344455776. Its totient is φ = 32006016.

The previous prime is 112251551. The next prime is 112251553. The reversal of 112251552 is 255152211.

It is an interprime number because it is at equal distance from previous prime (112251551) and next prime (112251553).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112251551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230253 + ... + 230739.

Almost surely, 2112251552 is an apocalyptic number.

112251552 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 112251552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172227888).

112251552 is an abundant number, since it is smaller than the sum of its proper divisors (232204224).

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

112251552 is an frugal number, since it uses more digits than its factorization.

112251552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 499 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 112251552 is about 10594.8832933638. The cubic root of 112251552 is about 482.3890616289.

The spelling of 112251552 in words is "one hundred twelve million, two hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 487 588 672 686 784 974 1029 1176 1372 1461 1568 1948 2058 2352 2401 2744 2922 3409 3896 4116 4704 4802 5488 5844 6818 7203 7792 8232 9604 10227 10976 11688 13636 14406 15584 16464 19208 20454 23376 23863 27272 28812 32928 38416 40908 46752 47726 54544 57624 71589 76832 81816 95452 109088 115248 143178 163632 167041 190904 230496 286356 327264 334082 381808 501123 572712 668164 763616 1002246 1145424 1169287 1336328 2004492 2290848 2338574 2672656 3507861 4008984 4677148 5345312 7015722 8017968 9354296 14031444 16035936 18708592 28062888 37417184 56125776 112251552