Search a number
-
+
112250430 = 232510312109
BaseRepresentation
bin1101011000011…
…00111000111110
321211012220122100
412230030320332
5212214003210
615045525530
72532053505
oct654147076
9254186570
10112250430
11583a9456
12317138a6
131a342796
1410c9d83c
159cc45c0
hex6b0ce3e

112250430 has 48 divisors (see below), whose sum is σ = 294708960. Its totient is φ = 29640384.

The previous prime is 112250407. The next prime is 112250477. The reversal of 112250430 is 34052211.

112250430 is a `hidden beast` number, since 11 + 225 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3216 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (6139770).

Almost surely, 2112250430 is an apocalyptic number.

112250430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112250430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147354480).

112250430 is an abundant number, since it is smaller than the sum of its proper divisors (182458530).

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

112250430 is a wasteful number, since it uses less digits than its factorization.

112250430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225 (or 12222 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112250430 is about 10594.8303431438. The cubic root of 112250430 is about 482.3874543985.

The spelling of 112250430 in words is "one hundred twelve million, two hundred fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 12109 24218 36327 60545 72654 108981 121090 181635 217962 363270 544905 1089810 1247227 2494454 3741681 6236135 7483362 11225043 12472270 18708405 22450086 37416810 56125215 112250430