225410004 has 72 divisors (see below), whose sum is σ = 607075560. Its totient is φ = 70275072.

The previous prime is 225409993. The next prime is 225410023. The reversal of 225410004 is 400014522.

It can be written as a sum of positive squares in 4 ways, for example, as 82846404 + 142563600 = 9102^2 + 11940^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104812 + ... + 106940.

It is an arithmetic number, because the mean of its divisors is an integer number (8431605).

Almost surely, 2^225410004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225410004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303537780).

225410004 is an abundant number, since it is smaller than the sum of its proper divisors (381665556).

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

225410004 is a wasteful number, since it uses less digits than its factorization.

225410004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225410004 is about 15013.6605796188. The cubic root of 225410004 is about 608.5894164396.

Adding to 225410004 its reverse (400014522), we get a palindrome (625424526).

The spelling of 225410004 in words is "two hundred twenty-five million, four hundred ten thousand, four".