204224114240 has 112 divisors (see below), whose sum is σ = 497506752000. Its totient is φ = 79814572032.

The previous prime is 204224114189. The next prime is 204224114249. The reversal of 204224114240 is 42411422402.

It is a happy number.

It is a super-2 number, since 2×204224114240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204224114249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8997626 + ... + 9020294.

Almost surely, 2^204224114240 is an apocalyptic number.

204224114240 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 204224114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248753376000).

204224114240 is an abundant number, since it is smaller than the sum of its proper divisors (293282637760).

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

204224114240 is a wasteful number, since it uses less digits than its factorization.

204224114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23332 (or 23322 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 204224114240 its reverse (42411422402), we get a palindrome (246635536642).

The spelling of 204224114240 in words is "two hundred four billion, two hundred twenty-four million, one hundred fourteen thousand, two hundred forty".