225312254400 has 168 divisors, whose sum is σ = 746532491184. Its totient is φ = 59488256000.

The previous prime is 225312254389. The next prime is 225312254413. The reversal of 225312254400 is 4452213522.

It is a super-2 number, since 2×225312254400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252424 + ... + 717176.

Almost surely, 2^225312254400 is an apocalyptic number.

225312254400 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 225312254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373266245592).

225312254400 is an abundant number, since it is smaller than the sum of its proper divisors (521220236784).

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

225312254400 is a wasteful number, since it uses less digits than its factorization.

225312254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464879 (or 464864 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 225312254400 its reverse (4452213522), we get a palindrome (229764467922).

The spelling of 225312254400 in words is "two hundred twenty-five billion, three hundred twelve million, two hundred fifty-four thousand, four hundred".