83332224 has 48 divisors (see below), whose sum is σ = 239800470. Its totient is φ = 27777024.

The previous prime is 83332169. The next prime is 83332231. The reversal of 83332224 is 42223338.

It can be written as a sum of positive squares in only one way, i.e., 76737600 + 6594624 = 8760^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35017 + ... + 37320.

Almost surely, 2^83332224 is an apocalyptic number.

It is an amenable number.

83332224 is an abundant number, since it is smaller than the sum of its proper divisors (156468246).

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

83332224 is a wasteful number, since it uses less digits than its factorization.

83332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72357 (or 72342 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 83332224 is about 9128.6485308615. The cubic root of 83332224 is about 436.7882941757.

The spelling of 83332224 in words is "eighty-three million, three hundred thirty-two thousand, two hundred twenty-four".