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22124480 = 265721783
BaseRepresentation
bin101010001100…
…1011111000000
31112122001002012
41110121133000
521130440410
62110112052
7356024600
oct124313700
945561065
1022124480
11115414a4
1274ab628
134778411
142d1cc00
151e20605
hex15197c0

22124480 has 168 divisors, whose sum is σ = 65672208. Its totient is φ = 7053312.

The previous prime is 22124467. The next prime is 22124507. The reversal of 22124480 is 8442122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 266519 + ... + 266601.

It is an arithmetic number, because the mean of its divisors is an integer number (390906).

Almost surely, 222124480 is an apocalyptic number.

22124480 is a gapful number since it is divisible by the number (20) 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 22124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32836104).

22124480 is an abundant number, since it is smaller than the sum of its proper divisors (43547728).

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

22124480 is a wasteful number, since it uses less digits than its factorization.

22124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 22124480 is about 4703.6666548556. Note that the first 4 decimals coincide. The cubic root of 22124480 is about 280.7314210385.

The spelling of 22124480 in words is "twenty-two million, one hundred twenty-four thousand, four hundred eighty".