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204312214860 = 2235131719180671
BaseRepresentation
bin1011111001000111110…
…1001111110101001100
3201112100212110220012220
42332101331033311030
511321412411333420
6233505411455340
720522022112665
oct2762175176514
9645325426186
10204312214860
1179714a12036
123371b8b7550
13163608273c0
149c62aa836c
1554abd1c840
hex2f91f4fd4c

204312214860 has 192 divisors, whose sum is σ = 655743320064. Its totient is φ = 47085465600.

The previous prime is 204312214849. The next prime is 204312214867. The reversal of 204312214860 is 68412213402.

It is a super-2 number, since 2×2043122148602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204312214867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2492325 + ... + 2572995.

It is an arithmetic number, because the mean of its divisors is an integer number (3415329792).

Almost surely, 2204312214860 is an apocalyptic number.

204312214860 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 204312214860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327871660032).

204312214860 is an abundant number, since it is smaller than the sum of its proper divisors (451431105204).

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

204312214860 is a wasteful number, since it uses less digits than its factorization.

204312214860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80904 (or 80902 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 204312214860 in words is "two hundred four billion, three hundred twelve million, two hundred fourteen thousand, eight hundred sixty".