242201664 has 140 divisors (see below), whose sum is σ = 756056400. Its totient is φ = 76453632.

The previous prime is 242201653. The next prime is 242201677. The reversal of 242201664 is 466102242.

242201664 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97267 + ... + 99725.

Almost surely, 2^242201664 is an apocalyptic number.

242201664 is a gapful number since it is divisible by the number (24) 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 242201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378028200).

242201664 is an abundant number, since it is smaller than the sum of its proper divisors (513854736).

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

242201664 is a wasteful number, since it uses less digits than its factorization.

242201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 242201664 is about 15562.8295627755. The cubic root of 242201664 is about 623.3410203010.

The spelling of 242201664 in words is "two hundred forty-two million, two hundred one thousand, six hundred sixty-four".