15225216 has 64 divisors (see below), whose sum is σ = 41779200. Its totient is φ = 4907520.

The previous prime is 15225181. The next prime is 15225233. The reversal of 15225216 is 61252251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11265 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (652800).

Almost surely, 2^15225216 is an apocalyptic number.

15225216 is a gapful number since it is divisible by the number (16) 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 15225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889600).

15225216 is an abundant number, since it is smaller than the sum of its proper divisors (26553984).

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

15225216 is a wasteful number, since it uses less digits than its factorization.

15225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1315 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 15225216 is about 3901.9502815900. The cubic root of 15225216 is about 247.8493708957.

Adding to 15225216 its reverse (61252251), we get a palindrome (76477467).

The spelling of 15225216 in words is "fifteen million, two hundred twenty-five thousand, two hundred sixteen".