242648224 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 94943232.

The previous prime is 242648213. The next prime is 242648227. The reversal of 242648224 is 422846242.

It is a super-2 number, since 2×242648224² = 117756321220708352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242648224.

It is not an unprimeable number, because it can be changed into a prime (242648227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299532 + ... + 300340.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^242648224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242648224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

242648224 is an abundant number, since it is smaller than the sum of its proper divisors (351749216).

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

242648224 is a wasteful number, since it uses less digits than its factorization.

242648224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 934 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

The square root of 242648224 is about 15577.1699611964. The cubic root of 242648224 is about 623.7238806845.

The spelling of 242648224 in words is "two hundred forty-two million, six hundred forty-eight thousand, two hundred twenty-four".