225400032 has 216 divisors, whose sum is σ = 758977128. Its totient is φ = 62899200.

The previous prime is 225400027. The next prime is 225400057. The reversal of 225400032 is 230004522.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225399978 and 225400014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535182 + ... + 535602.

It is an arithmetic number, because the mean of its divisors is an integer number (3513783).

Almost surely, 2^225400032 is an apocalyptic number.

225400032 is a gapful number since it is divisible by the number (22) 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 225400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379488564).

225400032 is an abundant number, since it is smaller than the sum of its proper divisors (533577096).

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

225400032 is a wasteful number, since it uses less digits than its factorization.

225400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225400032 is about 15013.3284783888. The cubic root of 225400032 is about 608.5804417667.

Adding to 225400032 its reverse (230004522), we get a palindrome (455404554).

The spelling of 225400032 in words is "two hundred twenty-five million, four hundred thousand, thirty-two".