42292224 has 132 divisors (see below), whose sum is σ = 131884116. Its totient is φ = 12976128.

The previous prime is 42292219. The next prime is 42292273. The reversal of 42292224 is 42229224.

42292224 = 157² + 158² + ... + 507².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 31002624 = 3360^2 + 5568^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119632 + ... + 119984.

Almost surely, 2^42292224 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 42292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65942058).

42292224 is an abundant number, since it is smaller than the sum of its proper divisors (89591892).

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

42292224 is a wasteful number, since it uses less digits than its factorization.

42292224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

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

The square root of 42292224 is about 6503.2471889049. The cubic root of 42292224 is about 348.4069753160.

The spelling of 42292224 in words is "forty-two million, two hundred ninety-two thousand, two hundred twenty-four".