333122272 has 48 divisors (see below), whose sum is σ = 753429600. Its totient is φ = 142023168.

The previous prime is 333122261. The next prime is 333122297. The reversal of 333122272 is 272221333.

It is a super-2 number, since 2×333122272² = 221940896204883968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40354 + ... + 47902.

It is an arithmetic number, because the mean of its divisors is an integer number (15696450).

Almost surely, 2^333122272 is an apocalyptic number.

333122272 is a gapful number since it is divisible by the number (32) 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 333122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376714800).

333122272 is an abundant number, since it is smaller than the sum of its proper divisors (420307328).

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

333122272 is a wasteful number, since it uses less digits than its factorization.

333122272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7755 counting only the distinct ones).

The product of its digits is 3024, while the sum is 25.

The square root of 333122272 is about 18251.6375155765. The cubic root of 333122272 is about 693.2149016976.

The spelling of 333122272 in words is "three hundred thirty-three million, one hundred twenty-two thousand, two hundred seventy-two".