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22901125 = 531317829
BaseRepresentation
bin101011101011…
…1000110000101
31121002111102211
41113113012011
521330314000
62134503421
7365441062
oct127270605
947074384
1022901125
1111a21a55
127804b71
13498aa80
143081c69
1520257ba
hex15d7185

22901125 has 32 divisors (see below), whose sum is σ = 32628960. Its totient is φ = 15897600.

The previous prime is 22901093. The next prime is 22901147. The reversal of 22901125 is 52110922.

It can be written as a sum of positive squares in 16 ways, for example, as 16378209 + 6522916 = 4047^2 + 2554^2 .

It is not a de Polignac number, because 22901125 - 25 = 22901093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22901096 and 22901105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27211 + ... + 28039.

It is an arithmetic number, because the mean of its divisors is an integer number (1019655).

Almost surely, 222901125 is an apocalyptic number.

22901125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22901125 is a deficient number, since it is larger than the sum of its proper divisors (9727835).

22901125 is a wasteful number, since it uses less digits than its factorization.

22901125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 22901125 is about 4785.5119893278. The cubic root of 22901125 is about 283.9785947300.

It can be divided in two parts, 229011 and 25, that multiplied together give a palindrome (5725275).

The spelling of 22901125 in words is "twenty-two million, nine hundred one thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 829 1105 1625 2125 4145 5525 10777 14093 20725 27625 53885 70465 103625 183209 269425 352325 916045 1347125 1761625 4580225 22901125