Search a number
-
+
204022244432 = 24172931678167
BaseRepresentation
bin1011111000000010101…
…1000110010001010000
3201111121122211212120102
42332000223012101100
511320314143310212
6233420532431532
720511601315106
oct2760053062120
9644548755512
10204022244432
1179586268a56
123365a7785a8
131631572b776
149c36385c76
1554916405c2
hex2f80ac6450

204022244432 has 80 divisors (see below), whose sum is σ = 433167989760. Its totient is φ = 92659144704.

The previous prime is 204022244429. The next prime is 204022244443. The reversal of 204022244432 is 234442220402.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 204022244395 and 204022244404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24977213 + ... + 24985379.

It is an arithmetic number, because the mean of its divisors is an integer number (5414599872).

Almost surely, 2204022244432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204022244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216583994880).

204022244432 is an abundant number, since it is smaller than the sum of its proper divisors (229145745328).

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

204022244432 is a wasteful number, since it uses less digits than its factorization.

204022244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 204022244432 its reverse (234442220402), we get a palindrome (438464464834).

The spelling of 204022244432 in words is "two hundred four billion, twenty-two million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3167 3944 6334 7888 8167 12668 16334 25336 32668 50672 53839 65336 91843 107678 130672 138839 183686 215356 236843 277678 367372 430712 473686 555356 734744 861424 947372 1110712 1469488 1561331 1894744 2221424 3122662 3789488 4026331 6245324 8052662 12490648 16105324 24981296 25864889 32210648 51729778 64421296 103459556 206919112 413838224 439703113 750081781 879406226 1500163562 1758812452 3000327124 3517624904 6000654248 7035249808 12001308496 12751390277 25502780554 51005561108 102011122216 204022244432