2022505200 has 150 divisors (see below), whose sum is σ = 7258725144. Its totient is φ = 539326080.

The previous prime is 2022505189. The next prime is 2022505229. The reversal of 2022505200 is 25052202.

It is a tau number, because it is divible by the number of its divisors (150).

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 (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1189 + ... + 63611.

Almost surely, 2^2022505200 is an apocalyptic number.

2022505200 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 2022505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629362572).

2022505200 is an abundant number, since it is smaller than the sum of its proper divisors (5236219944).

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

2022505200 is a wasteful number, since it uses less digits than its factorization.

2022505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62453 (or 62433 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2022505200 is about 44972.2714569767. The cubic root of 2022505200 is about 1264.6292299209.

Adding to 2022505200 its reverse (25052202), we get a palindrome (2047557402).

The spelling of 2022505200 in words is "two billion, twenty-two million, five hundred five thousand, two hundred".