224122982400 has 468 divisors, whose sum is σ = 832584613952. Its totient is φ = 59759493120.

The previous prime is 224122982353. The next prime is 224122982441. The reversal of 224122982400 is 4289221422.

224122982400 is a `hidden beast` number, since 2 + 24 + 1 + 229 + 8 + 2 + 400 = 666.

It is a super-2 number, since 2×224122982400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24878697 + ... + 24887703.

Almost surely, 2^224122982400 is an apocalyptic number.

224122982400 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 224122982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416292306976).

224122982400 is an abundant number, since it is smaller than the sum of its proper divisors (608461631552).

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

224122982400 is an frugal number, since it uses more digits than its factorization.

224122982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 224122982400 in words is "two hundred twenty-four billion, one hundred twenty-two million, nine hundred eighty-two thousand, four hundred".