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22120560 = 24335721119
BaseRepresentation
bin101010001100…
…0100001110000
31112121211201000
41110120201300
521130324220
62110042000
7356010300
oct124304160
945554630
1022120560
1111539560
1274a9300
1347766b7
142d1b600
151e1e390
hex1518870

22120560 has 480 divisors, whose sum is σ = 101779200. Its totient is φ = 4354560.

The previous prime is 22120543. The next prime is 22120573. The reversal of 22120560 is 6502122.

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 95 ways as a sum of consecutive naturals, for example, 1164231 + ... + 1164249.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 222120560 is an apocalyptic number.

22120560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22120560 is the 2352-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

22120560 is an abundant number, since it is smaller than the sum of its proper divisors (79658640).

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

22120560 is a wasteful number, since it uses less digits than its factorization.

22120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

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

The square root of 22120560 is about 4703.2499402009. The cubic root of 22120560 is about 280.7148401264.

Adding to 22120560 its reverse (6502122), we get a palindrome (28622682).

The spelling of 22120560 in words is "twenty-two million, one hundred twenty thousand, five hundred sixty".