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22530120 = 2335187751
BaseRepresentation
bin101010111110…
…0100001001000
31120101122111220
41111330201020
521231430440
62122522040
7362334324
oct125744110
946348456
1022530120
1111799238
127666320
13488ac42
142dc6984
151ea08d0
hex157c848

22530120 has 32 divisors (see below), whose sum is σ = 67590720. Its totient is φ = 6008000.

The previous prime is 22530107. The next prime is 22530139. The reversal of 22530120 is 2103522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 22530120.

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 7 ways as a sum of consecutive naturals, for example, 93756 + ... + 93995.

It is an arithmetic number, because the mean of its divisors is an integer number (2112210).

Almost surely, 222530120 is an apocalyptic number.

22530120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22530120 is an abundant number, since it is smaller than the sum of its proper divisors (45060600).

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

22530120 is a wasteful number, since it uses less digits than its factorization.

22530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187765 (or 187761 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22530120 is about 4746.5903551918. The cubic root of 22530120 is about 282.4367258504.

Adding to 22530120 its reverse (2103522), we get a palindrome (24633642).

The spelling of 22530120 in words is "twenty-two million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 187751 375502 563253 751004 938755 1126506 1502008 1877510 2253012 2816265 3755020 4506024 5632530 7510040 11265060 22530120