242213664 has 288 divisors, whose sum is σ = 838397952. Its totient is φ = 60480000.

The previous prime is 242213659. The next prime is 242213669. The reversal of 242213664 is 466312242.

It is an interprime number because it is at equal distance from previous prime (242213659) and next prime (242213669).

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

It is not an unprimeable number, because it can be changed into a prime (242213669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603989 + ... + 1604139.

It is an arithmetic number, because the mean of its divisors is an integer number (2911104).

Almost surely, 2^242213664 is an apocalyptic number.

242213664 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 242213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419198976).

242213664 is an abundant number, since it is smaller than the sum of its proper divisors (596184288).

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

242213664 is a wasteful number, since it uses less digits than its factorization.

242213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

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

The square root of 242213664 is about 15563.2150920046. The cubic root of 242213664 is about 623.3513147097.

The spelling of 242213664 in words is "two hundred forty-two million, two hundred thirteen thousand, six hundred sixty-four".