Base | Representation |
---|---|
bin | 1101011000011… |
… | …10001000000000 |
3 | 21211020011120200 |
4 | 12230032020000 |
5 | 212214133423 |
6 | 15050005200 |
7 | 2532104322 |
oct | 654161000 |
9 | 254204520 |
10 | 112255488 |
11 | 58402234 |
12 | 31716800 |
13 | 1a344b87 |
14 | 10ca1612 |
15 | 9cc5d43 |
hex | 6b0e200 |
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".
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