20283200 has 84 divisors (see below), whose sum is σ = 57070752. Its totient is φ = 6950400.

The previous prime is 20283199. The next prime is 20283223. The reversal of 20283200 is 238202.

It is a super-2 number, since 2×20283200² = 822816404480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10295 + ... + 12105.

Almost surely, 2^20283200 is an apocalyptic number.

20283200 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 20283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28535376).

20283200 is an abundant number, since it is smaller than the sum of its proper divisors (36787552).

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

20283200 is a wasteful number, since it uses less digits than its factorization.

20283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20283200 is about 4503.6873781381. The cubic root of 20283200 is about 272.7169666139.

The spelling of 20283200 in words is "twenty million, two hundred eighty-three thousand, two hundred".