242231664 has 40 divisors (see below), whose sum is σ = 647346960. Its totient is φ = 77959168.

The previous prime is 242231651. The next prime is 242231701. The reversal of 242231664 is 466132242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85617 + ... + 88400.

It is an arithmetic number, because the mean of its divisors is an integer number (16183674).

Almost surely, 2^242231664 is an apocalyptic number.

242231664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242231664 is an abundant number, since it is smaller than the sum of its proper divisors (405115296).

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

242231664 is a wasteful number, since it uses less digits than its factorization.

242231664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174057 (or 174051 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 242231664 is about 15563.7933679421. The cubic root of 242231664 is about 623.3667556852.

The spelling of 242231664 in words is "two hundred forty-two million, two hundred thirty-one thousand, six hundred sixty-four".