242157200 has 30 divisors (see below), whose sum is σ = 581783634. Its totient is φ = 96862720.

The previous prime is 242157191. The next prime is 242157203. The reversal of 242157200 is 2751242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 59474944 + 182682256 = 7712^2 + 13516^2 .

It is not an unprimeable number, because it can be changed into a prime (242157203) 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 5 ways as a sum of consecutive naturals, for example, 302297 + ... + 303096.

Almost surely, 2^242157200 is an apocalyptic number.

242157200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242157200 is an abundant number, since it is smaller than the sum of its proper divisors (339626434).

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

242157200 is a wasteful number, since it uses less digits than its factorization.

242157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605411 (or 605400 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 242157200 is about 15561.4009652088. The cubic root of 242157200 is about 623.3028731211.

The spelling of 242157200 in words is "two hundred forty-two million, one hundred fifty-seven thousand, two hundred".