202240204400 has 90 divisors (see below), whose sum is σ = 526132854360. Its totient is φ = 74673281280.

The previous prime is 202240204399. The next prime is 202240204409. The reversal of 202240204400 is 4402042202.

It is a super-2 number, since 2×202240204400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202240204409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1428260 + ... + 1563459.

It is an arithmetic number, because the mean of its divisors is an integer number (5845920604).

Almost surely, 2^202240204400 is an apocalyptic number.

202240204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202240204400 is an abundant number, since it is smaller than the sum of its proper divisors (323892649960).

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

202240204400 is a wasteful number, since it uses less digits than its factorization.

202240204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991763 (or 2991739 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 202240204400 its reverse (4402042202), we get a palindrome (206642246602).

The spelling of 202240204400 in words is "two hundred two billion, two hundred forty million, two hundred four thousand, four hundred".