33820242 has 32 divisors (see below), whose sum is σ = 71959104. Its totient is φ = 10560000.

The previous prime is 33820223. The next prime is 33820261. The reversal of 33820242 is 24202833.

It is an interprime number because it is at equal distance from previous prime (33820223) and next prime (33820261).

It is a super-2 number, since 2×33820242² = 2287617537877128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24942 + ... + 26262.

It is an arithmetic number, because the mean of its divisors is an integer number (2248722).

Almost surely, 2^33820242 is an apocalyptic number.

33820242 is an abundant number, since it is smaller than the sum of its proper divisors (38138862).

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

33820242 is a wasteful number, since it uses less digits than its factorization.

33820242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 33820242 is about 5815.5173458601. The cubic root of 33820242 is about 323.3892434108.

The spelling of 33820242 in words is "thirty-three million, eight hundred twenty thousand, two hundred forty-two".