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204214403024 = 24232772003359
BaseRepresentation
bin1011111000110000100…
…0000111111111010000
3201112010001102112121022
42332030020013333100
511321212341344044
6233451555215012
720516423533202
oct2761410077720
9645101375538
10204214403024
1179674785605
12336b2ba7468
131634649b888
149c53ac6772
1554a344b3ee
hex2f8c207fd0

204214403024 has 40 divisors (see below), whose sum is σ = 414358955520. Its totient is φ = 97315118208.

The previous prime is 204214402999. The next prime is 204214403027. The reversal of 204214403024 is 420304412402.

It is a happy number.

204214403024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204214402984 and 204214403002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204214403027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899744 + ... + 1103615.

It is an arithmetic number, because the mean of its divisors is an integer number (10358973888).

Almost surely, 2204214403024 is an apocalyptic number.

It is an amenable number.

204214403024 is an abundant number, since it is smaller than the sum of its proper divisors (210144552496).

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

204214403024 is a wasteful number, since it uses less digits than its factorization.

204214403024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003667 (or 2003661 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 204214403024 its reverse (420304412402), we get a palindrome (624518815426).

The spelling of 204214403024 in words is "two hundred four billion, two hundred fourteen million, four hundred three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 277 368 554 1108 2216 4432 6371 12742 25484 50968 101936 2003359 4006718 8013436 16026872 32053744 46077257 92154514 184309028 368618056 554930443 737236112 1109860886 2219721772 4439443544 8878887088 12763400189 25526800378 51053600756 102107201512 204214403024