200224924704 has 384 divisors, whose sum is σ = 690232596480. Its totient is φ = 55284083712.

The previous prime is 200224924667. The next prime is 200224924717. The reversal of 200224924704 is 407429422002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21471787 + ... + 21481109.

It is an arithmetic number, because the mean of its divisors is an integer number (1797480720).

Almost surely, 2^200224924704 is an apocalyptic number.

200224924704 is a gapful number since it is divisible by the number (24) 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 200224924704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345116298240).

200224924704 is an abundant number, since it is smaller than the sum of its proper divisors (490007671776).

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

200224924704 is a wasteful number, since it uses less digits than its factorization.

200224924704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 200224924704 in words is "two hundred billion, two hundred twenty-four million, nine hundred twenty-four thousand, seven hundred four".