208233900000 has 432 divisors, whose sum is σ = 845921670048. Its totient is φ = 47594880000.

The previous prime is 208233899999. The next prime is 208233900029. The reversal of 208233900000 is 9332802.

It is a super-2 number, since 2×208233900000² (a number of 23 digits) 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 71 ways as a sum of consecutive naturals, for example, 6283474 + ... + 6316526.

It is an arithmetic number, because the mean of its divisors is an integer number (1958152014).

Almost surely, 2^208233900000 is an apocalyptic number.

208233900000 is a gapful number since it is divisible by the number (20) 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 208233900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422960835024).

208233900000 is an abundant number, since it is smaller than the sum of its proper divisors (637687770048).

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

208233900000 is an equidigital number, since it uses as much as digits as its factorization.

208233900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33101 (or 33070 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 208233900000 in words is "two hundred eight billion, two hundred thirty-three million, nine hundred thousand".