242157000 has 128 divisors (see below), whose sum is σ = 770290560. Its totient is φ = 63315200.

The previous prime is 242156983. The next prime is 242157011. The reversal of 242157000 is 751242.

242157000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158239 + ... + 159761.

It is an arithmetic number, because the mean of its divisors is an integer number (6017895).

Almost surely, 2^242157000 is an apocalyptic number.

242157000 is a gapful number since it is divisible by the number (20) 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 242157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385145280).

242157000 is an abundant number, since it is smaller than the sum of its proper divisors (528133560).

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

242157000 is a wasteful number, since it uses less digits than its factorization.

242157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 242157000 is about 15561.3945390508. The cubic root of 242157000 is about 623.3027015238.

The spelling of 242157000 in words is "two hundred forty-two million, one hundred fifty-seven thousand".