223142832 has 120 divisors (see below), whose sum is σ = 685938240. Its totient is φ = 67155840.

The previous prime is 223142809. The next prime is 223142837. The reversal of 223142832 is 238241322.

223142832 is a `hidden beast` number, since 2 + 231 + 428 + 3 + 2 = 666.

223142832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223142832³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223142796 and 223142805.

It is not an unprimeable number, because it can be changed into a prime (223142837) 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, 283143 + ... + 283929.

It is an arithmetic number, because the mean of its divisors is an integer number (5716152).

Almost surely, 2^223142832 is an apocalyptic number.

223142832 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 223142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342969120).

223142832 is an abundant number, since it is smaller than the sum of its proper divisors (462795408).

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

223142832 is a wasteful number, since it uses less digits than its factorization.

223142832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 223142832 is about 14937.9661266184. The cubic root of 223142832 is about 606.5421413832.

The spelling of 223142832 in words is "two hundred twenty-three million, one hundred forty-two thousand, eight hundred thirty-two".