1993533200 has 120 divisors (see below), whose sum is σ = 5149729920. Its totient is φ = 739238400.

The previous prime is 1993533121. The next prime is 1993533239. The reversal of 1993533200 is 23353991.

It is a happy number.

It is a Cunningham number, because it is equal to 44649²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354410 + ... + 359990.

It is an arithmetic number, because the mean of its divisors is an integer number (42914416).

Almost surely, 2^1993533200 is an apocalyptic number.

1993533200 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 1993533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574864960).

1993533200 is an abundant number, since it is smaller than the sum of its proper divisors (3156196720).

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

1993533200 is a wasteful number, since it uses less digits than its factorization.

1993533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 1993533200 is about 44648.9999888015. Note that the first 4 decimals coincide. The cubic root of 1993533200 is about 1258.5616407617.

It can be divided in two parts, 19935 and 33200, that added together give a palindrome (53135).

The spelling of 1993533200 in words is "one billion, nine hundred ninety-three million, five hundred thirty-three thousand, two hundred".