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22105120 = 255138157
BaseRepresentation
bin101010001010…
…0110000100000
31112121001112011
41110110300200
521124330440
62105442304
7355614262
oct124246040
945531464
1022105120
11115289a4
1274a0394
13476c66b
142d15b32
151e199ea
hex1514c20

22105120 has 24 divisors (see below), whose sum is σ = 52223724. Its totient is φ = 8841984.

The previous prime is 22105103. The next prime is 22105147. The reversal of 22105120 is 2150122.

It can be written as a sum of positive squares in 2 ways, for example, as 20394256 + 1710864 = 4516^2 + 1308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22105120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68919 + ... + 69238.

Almost surely, 222105120 is an apocalyptic number.

22105120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105120 is an abundant number, since it is smaller than the sum of its proper divisors (30118604).

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

22105120 is a wasteful number, since it uses less digits than its factorization.

22105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138172 (or 138164 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 22105120 is about 4701.6082354871. The cubic root of 22105120 is about 280.6495125768.

Adding to 22105120 its reverse (2150122), we get a palindrome (24255242).

The spelling of 22105120 in words is "twenty-two million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 138157 276314 552628 690785 1105256 1381570 2210512 2763140 4421024 5526280 11052560 22105120