224220431232 has 1344 divisors, whose sum is σ = 857884770000. Its totient is φ = 57940033536.

The previous prime is 224220431209. The next prime is 224220431249. The reversal of 224220431232 is 232134022422.

224220431232 is a `hidden beast` number, since 2 + 2 + 4 + 220 + 431 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224220431196 and 224220431205.

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 167 ways as a sum of consecutive naturals, for example, 2519330644 + ... + 2519330732.

Almost surely, 2^224220431232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224220431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428942385000).

224220431232 is an abundant number, since it is smaller than the sum of its proper divisors (633664338768).

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

224220431232 is an equidigital number, since it uses as much as digits as its factorization.

224220431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224220431232 its reverse (232134022422), we get a palindrome (456354453654).

The spelling of 224220431232 in words is "two hundred twenty-four billion, two hundred twenty million, four hundred thirty-one thousand, two hundred thirty-two".