224511004225200 has 240 divisors, whose sum is σ = 896644468152576. Its totient is φ = 46651637222400.

The previous prime is 224511004225019. The next prime is 224511004225241. The reversal of 224511004225200 is 2522400115422.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1214793987 + ... + 1214978786.

Almost surely, 2^{224511004225200} is an apocalyptic number.

224511004225200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224511004225200 is an abundant number, since it is smaller than the sum of its proper divisors (672133463927376).

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

224511004225200 is a wasteful number, since it uses less digits than its factorization.

224511004225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429772812 (or 2429772801 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 224511004225200 in words is "two hundred twenty-four trillion, five hundred eleven billion, four million, two hundred twenty-five thousand, two hundred".