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112255488 = 2932171433
BaseRepresentation
bin1101011000011…
…10001000000000
321211020011120200
412230032020000
5212214133423
615050005200
72532104322
oct654161000
9254204520
10112255488
1158402234
1231716800
131a344b87
1410ca1612
159cc5d43
hex6b0e200

112255488 has 120 divisors (see below), whose sum is σ = 343273788. Its totient is φ = 35192832.

The previous prime is 112255463. The next prime is 112255489. The reversal of 112255488 is 884552211.

112255488 is a `hidden beast` number, since 1 + 1 + 22 + 554 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 11614464 = 10032^2 + 3408^2 .

It is a super-2 number, since 2×1122554882 = 25202589172236288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112255489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77620 + ... + 79052.

Almost surely, 2112255488 is an apocalyptic number.

112255488 is a gapful number since it is divisible by the number (18) 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 112255488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171636894).

112255488 is an abundant number, since it is smaller than the sum of its proper divisors (231018300).

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

112255488 is a wasteful number, since it uses less digits than its factorization.

112255488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1455 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 112255488 is about 10595.0690417760. The cubic root of 112255488 is about 482.3946997429.

The spelling of 112255488 in words is "one hundred twelve million, two hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1433 1536 1632 2176 2304 2448 2866 3264 4299 4352 4608 4896 5732 6528 8598 8704 9792 11464 12897 13056 17196 19584 22928 24361 25794 26112 34392 39168 45856 48722 51588 68784 73083 78336 91712 97444 103176 137568 146166 183424 194888 206352 219249 275136 292332 366848 389776 412704 438498 550272 584664 733696 779552 825408 876996 1100544 1169328 1559104 1650816 1753992 2201088 2338656 3118208 3301632 3507984 4677312 6236416 6603264 7015968 9354624 12472832 14031936 18709248 28063872 37418496 56127744 112255488