1993282200 has 576 divisors, whose sum is σ = 8460291840. Its totient is φ = 409328640.

The previous prime is 1993282183. The next prime is 1993282231. The reversal of 1993282200 is 22823991.

1993282200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1993282200⁴ (a number of 38 digits) contains 4444 as substring.

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 143 ways as a sum of consecutive naturals, for example, 7043259 + ... + 7043541.

Almost surely, 2^1993282200 is an apocalyptic number.

1993282200 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 1993282200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230145920).

1993282200 is an abundant number, since it is smaller than the sum of its proper divisors (6467009640).

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

1993282200 is a wasteful number, since it uses less digits than its factorization.

1993282200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1993282200 is about 44646.1890870878. The cubic root of 1993282200 is about 1258.5088179258.

The spelling of 1993282200 in words is "one billion, nine hundred ninety-three million, two hundred eighty-two thousand, two hundred".