225033216 has 176 divisors, whose sum is σ = 660280320. Its totient is φ = 67829760.

The previous prime is 225033203. The next prime is 225033217. The reversal of 225033216 is 612330522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225033217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618875 + ... + 1619013.

Almost surely, 2^225033216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330140160).

225033216 is an abundant number, since it is smaller than the sum of its proper divisors (435247104).

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

225033216 is a wasteful number, since it uses less digits than its factorization.

225033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 225033216 is about 15001.1071591400. The cubic root of 225033216 is about 608.2501279249.

Adding to 225033216 its reverse (612330522), we get a palindrome (837363738).

The spelling of 225033216 in words is "two hundred twenty-five million, thirty-three thousand, two hundred sixteen".