33220440 has 96 divisors (see below), whose sum is σ = 117795600. Its totient is φ = 8052480.

The previous prime is 33220433. The next prime is 33220459. The reversal of 33220440 is 4402233.

33220440 is a `hidden beast` number, since 3 + 3 + 220 + 440 = 666.

It is a super-2 number, since 2×33220440² = 2207195267587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235 + ... + 8154.

Almost surely, 2^33220440 is an apocalyptic number.

33220440 is a gapful number since it is divisible by the number (30) 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 33220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58897800).

33220440 is an abundant number, since it is smaller than the sum of its proper divisors (84575160).

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

33220440 is a wasteful number, since it uses less digits than its factorization.

33220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33220440 is about 5763.7175503316. The cubic root of 33220440 is about 321.4660595429.

Adding to 33220440 its reverse (4402233), we get a palindrome (37622673).

The spelling of 33220440 in words is "thirty-three million, two hundred twenty thousand, four hundred forty".