223120032432 has 320 divisors, whose sum is σ = 648678481920. Its totient is φ = 65520000000.

The previous prime is 223120032397. The next prime is 223120032433. The reversal of 223120032432 is 234230021322.

It is a super-3 number, since 3×223120032432³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (223120032433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888924307 + ... + 888924557.

It is an arithmetic number, because the mean of its divisors is an integer number (2027120256).

Almost surely, 2^223120032432 is an apocalyptic number.

223120032432 is a gapful number since it is divisible by the number (22) 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 223120032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324339240960).

223120032432 is an abundant number, since it is smaller than the sum of its proper divisors (425558449488).

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

223120032432 is a wasteful number, since it uses less digits than its factorization.

223120032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223120032432 its reverse (234230021322), we get a palindrome (457350053754).

The spelling of 223120032432 in words is "two hundred twenty-three billion, one hundred twenty million, thirty-two thousand, four hundred thirty-two".