Search a number
-
+
2204267064 = 2331912973727
BaseRepresentation
bin1000001101100010…
…0111001000111000
312200121201100221220
42003120213020320
514003243021224
61002421032040
7105423650406
oct20330471070
95617640856
102204267064
11a3128451a
12516255620
1329189694c
1416ca6c476
15cd7b1279
hex83627238

2204267064 has 64 divisors (see below), whose sum is σ = 5806732800. Its totient is φ = 695361024.

The previous prime is 2204267041. The next prime is 2204267071. The reversal of 2204267064 is 4607624022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589569 + ... + 593295.

It is an arithmetic number, because the mean of its divisors is an integer number (90730200).

Almost surely, 22204267064 is an apocalyptic number.

2204267064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2204267064 is an abundant number, since it is smaller than the sum of its proper divisors (3602465736).

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

2204267064 is a wasteful number, since it uses less digits than its factorization.

2204267064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2204267064 is about 46949.6226182916. The cubic root of 2204267064 is about 1301.4317684846.

The spelling of 2204267064 in words is "two billion, two hundred four million, two hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1297 2594 3727 3891 5188 7454 7782 10376 11181 14908 15564 22362 24643 29816 31128 44724 49286 70813 73929 89448 98572 141626 147858 197144 212439 283252 295716 424878 566504 591432 849756 1699512 4833919 9667838 14501757 19335676 29003514 38671352 58007028 91844461 116014056 183688922 275533383 367377844 551066766 734755688 1102133532 2204267064