1983238200 has 144 divisors (see below), whose sum is σ = 6675275880. Its totient is φ = 527681280.

The previous prime is 1983238193. The next prime is 1983238261. The reversal of 1983238200 is 28323891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1055662 + ... + 1057538.

Almost surely, 2^1983238200 is an apocalyptic number.

1983238200 is a gapful number since it is divisible by the number (10) 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 1983238200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337637940).

1983238200 is an abundant number, since it is smaller than the sum of its proper divisors (4692037680).

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

1983238200 is a wasteful number, since it uses less digits than its factorization.

1983238200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1983238200 is about 44533.5626241602. The cubic root of 1983238200 is about 1256.3914135008.

The spelling of 1983238200 in words is "one billion, nine hundred eighty-three million, two hundred thirty-eight thousand, two hundred".