1833216900 has 72 divisors (see below), whose sum is σ = 5583288480. Its totient is φ = 463127040.

The previous prime is 1833216857. The next prime is 1833216901. The reversal of 1833216900 is 96123381.

It is a super-2 number, since 2×1833216900² = 6721368404891220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1833216901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155109 + ... + 166508.

Almost surely, 2^1833216900 is an apocalyptic number.

1833216900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1833216900 is an abundant number, since it is smaller than the sum of its proper divisors (3750071580).

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

1833216900 is a wasteful number, since it uses less digits than its factorization.

1833216900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321653 (or 321646 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1833216900 is about 42816.0822588896. The cubic root of 1833216900 is about 1223.8775001288.

The spelling of 1833216900 in words is "one billion, eight hundred thirty-three million, two hundred sixteen thousand, nine hundred".