225053400 has 384 divisors, whose sum is σ = 852445440. Its totient is φ = 48384000.

The previous prime is 225053333. The next prime is 225053401. The reversal of 225053400 is 4350522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225053401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3689370 + ... + 3689430.

It is an arithmetic number, because the mean of its divisors is an integer number (2219910).

Almost surely, 2^225053400 is an apocalyptic number.

225053400 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 225053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426222720).

225053400 is an abundant number, since it is smaller than the sum of its proper divisors (627392040).

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

225053400 is a wasteful number, since it uses less digits than its factorization.

225053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 225053400 is about 15001.7798943992. The cubic root of 225053400 is about 608.2683127270.

The spelling of 225053400 in words is "two hundred twenty-five million, fifty-three thousand, four hundred".