225055400 has 48 divisors (see below), whose sum is σ = 526229340. Its totient is φ = 89510400.

The previous prime is 225055393. The next prime is 225055409. The reversal of 225055400 is 4550522.

It can be written as a sum of positive squares in 6 ways, for example, as 38514436 + 186540964 = 6206^2 + 13658^2 .

It is not an unprimeable number, because it can be changed into a prime (225055409) 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, 33092 + ... + 39308.

Almost surely, 2^225055400 is an apocalyptic number.

225055400 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 225055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263114670).

225055400 is an abundant number, since it is smaller than the sum of its proper divisors (301173940).

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

225055400 is a wasteful number, since it uses less digits than its factorization.

225055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 225055400 is about 15001.8465530081. The cubic root of 225055400 is about 608.2701145705.

The spelling of 225055400 in words is "two hundred twenty-five million, fifty-five thousand, four hundred".