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22122120 = 2335184351
BaseRepresentation
bin101010001100…
…0111010001000
31112121220211210
41110120322020
521130401440
62110053120
7356014656
oct124307210
945556753
1022122120
111153a749
1274aa1a0
134777317
142d1bdd6
151e1ea80
hex1518e88

22122120 has 32 divisors (see below), whose sum is σ = 66366720. Its totient is φ = 5899200.

The previous prime is 22122103. The next prime is 22122169. The reversal of 22122120 is 2122122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22122096 and 22122105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92056 + ... + 92295.

It is an arithmetic number, because the mean of its divisors is an integer number (2073960).

Almost surely, 222122120 is an apocalyptic number.

22122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122120 is an abundant number, since it is smaller than the sum of its proper divisors (44244600).

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

22122120 is a wasteful number, since it uses less digits than its factorization.

22122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184365 (or 184361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22122120 is about 4703.4157800475. The cubic root of 22122120 is about 280.7214388873.

Adding to 22122120 its reverse (2122122), we get a palindrome (24244242).

The spelling of 22122120 in words is "twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 184351 368702 553053 737404 921755 1106106 1474808 1843510 2212212 2765265 3687020 4424424 5530530 7374040 11061060 22122120