15225600 has 216 divisors, whose sum is σ = 54999952. Its totient is φ = 3686400.

The previous prime is 15225589. The next prime is 15225607. The reversal of 15225600 is 652251.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15225607) 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, 249570 + ... + 249630.

Almost surely, 2^15225600 is an apocalyptic number.

15225600 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 15225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27499976).

15225600 is an abundant number, since it is smaller than the sum of its proper divisors (39774352).

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

15225600 is a wasteful number, since it uses less digits than its factorization.

15225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 15225600 is about 3901.9994874423. Note that the first 3 decimals coincide. The cubic root of 15225600 is about 247.8514545740.

Adding to 15225600 its reverse (652251), we get a palindrome (15877851).

It can be divided in two parts, 152 and 25600, that added together give a palindrome (25752).

The spelling of 15225600 in words is "fifteen million, two hundred twenty-five thousand, six hundred".