20542200 has 192 divisors, whose sum is σ = 74876160. Its totient is φ = 4561920.

The previous prime is 20542163. The next prime is 20542201. The reversal of 20542200 is 224502.

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 20542200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281364 + ... + 281436.

It is an arithmetic number, because the mean of its divisors is an integer number (389980).

Almost surely, 2^20542200 is an apocalyptic number.

20542200 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 20542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37438080).

20542200 is an abundant number, since it is smaller than the sum of its proper divisors (54333960).

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

20542200 is a wasteful number, since it uses less digits than its factorization.

20542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 20542200 is about 4532.3503836310. The cubic root of 20542200 is about 273.8728520126.

Adding to 20542200 its reverse (224502), we get a palindrome (20766702).

The spelling of 20542200 in words is "twenty million, five hundred forty-two thousand, two hundred".