33222890400 has 576 divisors, whose sum is σ = 127881815040. Its totient is φ = 7334092800.

The previous prime is 33222890399. The next prime is 33222890411. The reversal of 33222890400 is 409822233.

It is a super-2 number, since 2×33222890400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95743027 + ... + 95743373.

It is an arithmetic number, because the mean of its divisors is an integer number (222017040).

Almost surely, 2^33222890400 is an apocalyptic number.

33222890400 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 33222890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63940907520).

33222890400 is an abundant number, since it is smaller than the sum of its proper divisors (94658924640).

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

33222890400 is a wasteful number, since it uses less digits than its factorization.

33222890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 33222890400 in words is "thirty-three billion, two hundred twenty-two million, eight hundred ninety thousand, four hundred".