20239200 has 144 divisors (see below), whose sum is σ = 73276560. Its totient is φ = 5391360.

The previous prime is 20239181. The next prime is 20239253. The reversal of 20239200 is 293202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21132 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (508865).

Almost surely, 2^20239200 is an apocalyptic number.

20239200 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 20239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36638280).

20239200 is an abundant number, since it is smaller than the sum of its proper divisors (53037360).

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

20239200 is a wasteful number, since it uses less digits than its factorization.

20239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20239200 is about 4498.7998399573. The cubic root of 20239200 is about 272.5196237586.

The spelling of 20239200 in words is "twenty million, two hundred thirty-nine thousand, two hundred".