33223950 has 144 divisors (see below), whose sum is σ = 97667856. Its totient is φ = 8064000.

The previous prime is 33223943. The next prime is 33223961. The reversal of 33223950 is 5932233.

It is a super-2 number, since 2×33223950² = 2207661707205000, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 328900 + ... + 329000.

It is an arithmetic number, because the mean of its divisors is an integer number (678249).

Almost surely, 2^33223950 is an apocalyptic number.

33223950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33223950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48833928).

33223950 is an abundant number, since it is smaller than the sum of its proper divisors (64443906).

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

33223950 is a wasteful number, since it uses less digits than its factorization.

33223950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 33223950 is about 5764.0220332681. The cubic root of 33223950 is about 321.4773809476.

The spelling of 33223950 in words is "thirty-three million, two hundred twenty-three thousand, nine hundred fifty".