25223200 has 72 divisors (see below), whose sum is σ = 63160020. Its totient is φ = 9830400.

The previous prime is 25223197. The next prime is 25223213. The reversal of 25223200 is 232252.

It can be written as a sum of positive squares in 6 ways, for example, as 2298256 + 22924944 = 1516^2 + 4788^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32416 + ... + 33184.

Almost surely, 2^25223200 is an apocalyptic number.

25223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31580010).

25223200 is an abundant number, since it is smaller than the sum of its proper divisors (37936820).

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

25223200 is a wasteful number, since it uses less digits than its factorization.

25223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 25223200 is about 5022.2704029154. The cubic root of 25223200 is about 293.2693845905.

Adding to 25223200 its reverse (232252), we get a palindrome (25455452).

The spelling of 25223200 in words is "twenty-five million, two hundred twenty-three thousand, two hundred".