225040603200 has 1344 divisors, whose sum is σ = 921960990720. Its totient is φ = 46964736000.

The previous prime is 225040603189. The next prime is 225040603247. The reversal of 225040603200 is 2306040522.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1717867135 + ... + 1717867265.

It is an arithmetic number, because the mean of its divisors is an integer number (685982880).

Almost surely, 2^225040603200 is an apocalyptic number.

225040603200 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 225040603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460980495360).

225040603200 is an abundant number, since it is smaller than the sum of its proper divisors (696920387520).

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

225040603200 is a wasteful number, since it uses less digits than its factorization.

225040603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 225040603200 its reverse (2306040522), we get a palindrome (227346643722).

The spelling of 225040603200 in words is "two hundred twenty-five billion, forty million, six hundred three thousand, two hundred".