225300055200 has 288 divisors, whose sum is σ = 802934233920. Its totient is φ = 54419251200.

The previous prime is 225300055199. The next prime is 225300055219. The reversal of 225300055200 is 2550003522.

It is a super-2 number, since 2×225300055200² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7297396 + ... + 7328204.

It is an arithmetic number, because the mean of its divisors is an integer number (2787966090).

Almost surely, 2^225300055200 is an apocalyptic number.

225300055200 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 225300055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401467116960).

225300055200 is an abundant number, since it is smaller than the sum of its proper divisors (577634178720).

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

225300055200 is a wasteful number, since it uses less digits than its factorization.

225300055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31120 (or 31107 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

Adding to 225300055200 its reverse (2550003522), we get a palindrome (227850058722).

The spelling of 225300055200 in words is "two hundred twenty-five billion, three hundred million, fifty-five thousand, two hundred".