15225200 has 60 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 5729280.

The previous prime is 15225181. The next prime is 15225233. The reversal of 15225200 is 252251.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 5681 + ... + 7919.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^15225200 is an apocalyptic number.

15225200 is a gapful number since it is divisible by the number (10) 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 15225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

15225200 is an abundant number, since it is smaller than the sum of its proper divisors (23522320).

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

15225200 is a wasteful number, since it uses less digits than its factorization.

15225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 15225200 is about 3901.9482313327. The cubic root of 15225200 is about 247.8492840750.

Adding to 15225200 its reverse (252251), we get a palindrome (15477451).

It can be divided in two parts, 152 and 25200, that added together give a palindrome (25352).

The spelling of 15225200 in words is "fifteen million, two hundred twenty-five thousand, two hundred".