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22145425 = 523789269
BaseRepresentation
bin101010001111…
…0100110010001
31112200002210221
41110132212101
521132123200
62110353041
7356142631
oct124364621
945602727
1022145425
1111556205
1274bb781
134784b03
142d266c1
151e2691a
hex151e991

22145425 has 24 divisors (see below), whose sum is σ = 28625400. Its totient is φ = 16980480.

The previous prime is 22145411. The next prime is 22145429. The reversal of 22145425 is 52454122.

It can be written as a sum of positive squares in 12 ways, for example, as 9979281 + 12166144 = 3159^2 + 3488^2 .

It is not a de Polignac number, because 22145425 - 213 = 22137233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

Its product of digits (3200) is a multiple of the sum of its prime divisors (400).

It is a self number, because there is not a number n which added to its sum of digits gives 22145425.

It is not an unprimeable number, because it can be changed into a prime (22145429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82191 + ... + 82459.

It is an arithmetic number, because the mean of its divisors is an integer number (1192725).

Almost surely, 222145425 is an apocalyptic number.

22145425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22145425 is a deficient number, since it is larger than the sum of its proper divisors (6479975).

22145425 is a wasteful number, since it uses less digits than its factorization.

22145425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its digits is 3200, while the sum is 25.

The square root of 22145425 is about 4705.8925827095. The cubic root of 22145425 is about 280.8199815395.

Adding to 22145425 its reverse (52454122), we get a palindrome (74599547).

The spelling of 22145425 in words is "twenty-two million, one hundred forty-five thousand, four hundred twenty-five".

Divisors: 1 5 25 37 89 185 269 445 925 1345 2225 3293 6725 9953 16465 23941 49765 82325 119705 248825 598525 885817 4429085 22145425