224925200 has 30 divisors (see below), whose sum is σ = 540383754. Its totient is φ = 89969920.

The previous prime is 224925199. The next prime is 224925209. The reversal of 224925200 is 2529422.

It can be written as a sum of positive squares in 3 ways, for example, as 66064384 + 158860816 = 8128^2 + 12604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224925200.

It is not an unprimeable number, because it can be changed into a prime (224925209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 280757 + ... + 281556.

Almost surely, 2^224925200 is an apocalyptic number.

224925200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224925200 is an abundant number, since it is smaller than the sum of its proper divisors (315458554).

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

224925200 is a wasteful number, since it uses less digits than its factorization.

224925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562331 (or 562320 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 224925200 is about 14997.5064594085. The cubic root of 224925200 is about 608.1527922783.

The spelling of 224925200 in words is "two hundred twenty-four million, nine hundred twenty-five thousand, two hundred".