225131004 has 72 divisors (see below), whose sum is σ = 655226208. Its totient is φ = 63843840.

The previous prime is 225131003. The next prime is 225131029. The reversal of 225131004 is 400131522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225131003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31264 + ... + 37784.

It is an arithmetic number, because the mean of its divisors is an integer number (9100364).

Almost surely, 2^225131004 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 225131004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327613104).

225131004 is an abundant number, since it is smaller than the sum of its proper divisors (430095204).

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

225131004 is a wasteful number, since it uses less digits than its factorization.

225131004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225131004 is about 15004.3661645536. The cubic root of 225131004 is about 608.3382200312.

Adding to 225131004 its reverse (400131522), we get a palindrome (625262526).

The spelling of 225131004 in words is "two hundred twenty-five million, one hundred thirty-one thousand, four".