225216000 has 480 divisors, whose sum is σ = 896246208. Its totient is φ = 54067200.

The previous prime is 225215999. The next prime is 225216031. The reversal of 225216000 is 612522.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9791989 + ... + 9792011.

Almost surely, 2^225216000 is an apocalyptic number.

225216000 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 225216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448123104).

225216000 is an abundant number, since it is smaller than the sum of its proper divisors (671030208).

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

225216000 is a wasteful number, since it uses less digits than its factorization.

225216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225216000 is about 15007.1982728289. The cubic root of 225216000 is about 608.4147677726.

Adding to 225216000 its reverse (612522), we get a palindrome (225828522).

It can be divided in two parts, 225 and 216000, that added together give a square (216225 = 465²).

The spelling of 225216000 in words is "two hundred twenty-five million, two hundred sixteen thousand".