242250756 has 96 divisors (see below), whose sum is σ = 632016000. Its totient is φ = 71608320.

The previous prime is 242250751. The next prime is 242250769. The reversal of 242250756 is 657052242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (242250751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625770 + ... + 1625918.

It is an arithmetic number, because the mean of its divisors is an integer number (6583500).

Almost surely, 2^242250756 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 242250756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008000).

242250756 is an abundant number, since it is smaller than the sum of its proper divisors (389765244).

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

242250756 is a wasteful number, since it uses less digits than its factorization.

242250756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 242250756 is about 15564.4067024734. The cubic root of 242250756 is about 623.3831325772.

The spelling of 242250756 in words is "two hundred forty-two million, two hundred fifty thousand, seven hundred fifty-six".