224133402400 has 144 divisors (see below), whose sum is σ = 551233421928. Its totient is φ = 88988672000.

The previous prime is 224133402341. The next prime is 224133402403. The reversal of 224133402400 is 4204331422.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 87703637904 + 136429764496 = 296148^2 + 369364^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (224133402403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130233540 + ... + 130235260.

Almost surely, 2^224133402400 is an apocalyptic number.

224133402400 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 224133402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275616710964).

224133402400 is an abundant number, since it is smaller than the sum of its proper divisors (327100019528).

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

224133402400 is a wasteful number, since it uses less digits than its factorization.

224133402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 224133402400 its reverse (4204331422), we get a palindrome (228337733822).

The spelling of 224133402400 in words is "two hundred twenty-four billion, one hundred thirty-three million, four hundred two thousand, four hundred".