33233290000 has 75 divisors (see below), whose sum is σ = 80505279283. Its totient is φ = 13286024000.

The previous prime is 33233289967. The next prime is 33233290007. The reversal of 33233290000 is 9233233.

The square root of 33233290000 is 182300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2605489936 + 30627800064 = 51044^2 + 175008^2 .

It is a super-2 number, since 2×33233290000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33233290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18229089 + ... + 18230911.

Almost surely, 2^33233290000 is an apocalyptic number.

33233290000 is the 182300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33233290000

33233290000 is an abundant number, since it is smaller than the sum of its proper divisors (47271989283).

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

33233290000 is an frugal number, since it uses more digits than its factorization.

33233290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Multiplying 33233290000 by its sum of digits (25), we get a square (830832250000 = 911500²).

33233290000 divided by its sum of digits (25) gives a square (1329331600 = 36460²).

Multiplying 33233290000 by its product of nonzero digits (2916), we get a square (96908273640000 = 9844200²).

The spelling of 33233290000 in words is "thirty-three billion, two hundred thirty-three million, two hundred ninety thousand".