242533032 has 128 divisors (see below), whose sum is σ = 728524800. Its totient is φ = 65818368.

The previous prime is 242533021. The next prime is 242533037. The reversal of 242533032 is 230335242.

It is a super-2 number, since 2×242533032² = 117644543222226048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242532993 and 242533011.

It is not an unprimeable number, because it can be changed into a prime (242533037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 326053 + ... + 326795.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^242533032 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 242533032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364262400).

242533032 is an abundant number, since it is smaller than the sum of its proper divisors (485991768).

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

242533032 is a wasteful number, since it uses less digits than its factorization.

242533032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 242533032 is about 15573.4720598844. The cubic root of 242533032 is about 623.6251652513.

Adding to 242533032 its reverse (230335242), we get a palindrome (472868274).

The spelling of 242533032 in words is "two hundred forty-two million, five hundred thirty-three thousand, thirty-two".