20083200 has 120 divisors (see below), whose sum is σ = 66470448. Its totient is φ = 5345280.

The previous prime is 20083199. The next prime is 20083207. The reversal of 20083200 is 238002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20083200.

It is not an unprimeable number, because it can be changed into a prime (20083207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38139 + ... + 38661.

Almost surely, 2^20083200 is an apocalyptic number.

20083200 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 20083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33235224).

20083200 is an abundant number, since it is smaller than the sum of its proper divisors (46387248).

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

20083200 is an equidigital number, since it uses as much as digits as its factorization.

20083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20083200 is about 4481.4283437315. The cubic root of 20083200 is about 271.8176401650.

The spelling of 20083200 in words is "twenty million, eighty-three thousand, two hundred".