242922900 has 72 divisors (see below), whose sum is σ = 766763424. Its totient is φ = 58889600.

The previous prime is 242922899. The next prime is 242922907. The reversal of 242922900 is 9229242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242922907) 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, 33507 + ... + 40106.

It is an arithmetic number, because the mean of its divisors is an integer number (10649492).

Almost surely, 2^242922900 is an apocalyptic number.

242922900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242922900 is an abundant number, since it is smaller than the sum of its proper divisors (523840524).

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

242922900 is a wasteful number, since it uses less digits than its factorization.

242922900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73641 (or 73634 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 242922900 is about 15585.9840882762. The cubic root of 242922900 is about 623.9591422130.

The spelling of 242922900 in words is "two hundred forty-two million, nine hundred twenty-two thousand, nine hundred".