242266824 has 96 divisors (see below), whose sum is σ = 678637440. Its totient is φ = 78019200.

The previous prime is 242266819. The next prime is 242266831. The reversal of 242266824 is 428662242.

It is a super-2 number, since 2×242266824² = 117386428022093952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561889 + ... + 562319.

It is an arithmetic number, because the mean of its divisors is an integer number (7069140).

Almost surely, 2^242266824 is an apocalyptic number.

242266824 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 242266824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339318720).

242266824 is an abundant number, since it is smaller than the sum of its proper divisors (436370616).

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

242266824 is a wasteful number, since it uses less digits than its factorization.

242266824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 242266824 is about 15564.9228716367. The cubic root of 242266824 is about 623.3969148510.

The spelling of 242266824 in words is "two hundred forty-two million, two hundred sixty-six thousand, eight hundred twenty-four".