225234400 has 72 divisors (see below), whose sum is σ = 573807024. Its totient is φ = 86169600.

The previous prime is 225234397. The next prime is 225234407. The reversal of 225234400 is 4432522.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225234407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12280 + ... + 24520.

It is an arithmetic number, because the mean of its divisors is an integer number (7969542).

Almost surely, 2^225234400 is an apocalyptic number.

225234400 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 225234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286903512).

225234400 is an abundant number, since it is smaller than the sum of its proper divisors (348572624).

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

225234400 is a wasteful number, since it uses less digits than its factorization.

225234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 225234400 is about 15007.8112994534. The cubic root of 225234400 is about 608.4313363511.

Adding to 225234400 its reverse (4432522), we get a palindrome (229666922).

The spelling of 225234400 in words is "two hundred twenty-five million, two hundred thirty-four thousand, four hundred".