220152042 has 96 divisors (see below), whose sum is σ = 545336064. Its totient is φ = 63590400.

The previous prime is 220152019. The next prime is 220152047. The reversal of 220152042 is 240251022.

220152042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220152047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381258 + ... + 381834.

It is an arithmetic number, because the mean of its divisors is an integer number (5680584).

Almost surely, 2^220152042 is an apocalyptic number.

220152042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220152042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272668032).

220152042 is an abundant number, since it is smaller than the sum of its proper divisors (325184022).

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

220152042 is a wasteful number, since it uses less digits than its factorization.

220152042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220152042 is about 14837.5214237419. The cubic root of 220152042 is about 603.8201096521.

The spelling of 220152042 in words is "two hundred twenty million, one hundred fifty-two thousand, forty-two".