225204404200 has 192 divisors, whose sum is σ = 551054016000. Its totient is φ = 85479936000.

The previous prime is 225204404197. The next prime is 225204404209. The reversal of 225204404200 is 2404402522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (225204404209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278373396 + ... + 278374204.

It is an arithmetic number, because the mean of its divisors is an integer number (2870073000).

Almost surely, 2^225204404200 is an apocalyptic number.

225204404200 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 225204404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275527008000).

225204404200 is an abundant number, since it is smaller than the sum of its proper divisors (325849611800).

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

225204404200 is a wasteful number, since it uses less digits than its factorization.

225204404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 225204404200 its reverse (2404402522), we get a palindrome (227608806722).

The spelling of 225204404200 in words is "two hundred twenty-five billion, two hundred four million, four hundred four thousand, two hundred".