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112233220 = 225111015051
BaseRepresentation
bin1101011000010…
…00101100000100
321211012001000221
412230020230010
5212212430340
615045314124
72531652361
oct654105404
9254161027
10112233220
1158397530
1231705944
131a3379b8
1410c97468
159cbe44a
hex6b08b04

112233220 has 48 divisors (see below), whose sum is σ = 259713216. Its totient is φ = 40400000.

The previous prime is 112233217. The next prime is 112233223. The reversal of 112233220 is 22332211.

112233220 = T1440 + T1441 + ... + T1540.

It is an interprime number because it is at equal distance from previous prime (112233217) and next prime (112233223).

It is a junction number, because it is equal to n+sod(n) for n = 112233194 and 112233203.

It is not an unprimeable number, because it can be changed into a prime (112233223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19695 + ... + 24745.

It is an arithmetic number, because the mean of its divisors is an integer number (5410692).

Almost surely, 2112233220 is an apocalyptic number.

112233220 is a gapful number since it is divisible by the number (10) 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 112233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129856608).

112233220 is an abundant number, since it is smaller than the sum of its proper divisors (147479996).

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

112233220 is a wasteful number, since it uses less digits than its factorization.

112233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 112233220 is about 10594.0181234506. The cubic root of 112233220 is about 482.3628002616.

Adding to 112233220 its reverse (22332211), we get a palindrome (134565431).

It can be divided in two parts, 112 and 233220, that added together give a palindrome (233332).

The spelling of 112233220 in words is "one hundred twelve million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5051 5555 10102 11110 20204 22220 25255 50510 55561 101020 111122 222244 277805 510151 555610 1020302 1111220 2040604 2550755 5101510 5611661 10203020 11223322 22446644 28058305 56116610 112233220