224202000400 has 120 divisors (see below), whose sum is σ = 622512120960. Its totient is φ = 76005473280.

The previous prime is 224202000391. The next prime is 224202000401. The reversal of 224202000400 is 4000202422.

224202000400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (224202000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200644 + ... + 699043.

It is an arithmetic number, because the mean of its divisors is an integer number (5187601008).

Almost surely, 2^224202000400 is an apocalyptic number.

224202000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224202000400 is an abundant number, since it is smaller than the sum of its proper divisors (398310120560).

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

224202000400 is a wasteful number, since it uses less digits than its factorization.

224202000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899801 (or 899790 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 224202000400 its reverse (4000202422), we get a palindrome (228202202822).

The spelling of 224202000400 in words is "two hundred twenty-four billion, two hundred two million, four hundred", and thus it is an aban number.