Search a number
-
+
2223050688 = 263218121323
BaseRepresentation
bin1000010010000001…
…0000111111000000
312201221001200020200
42010200100333000
514023100110223
61004331405200
7106042422225
oct20440207700
95657050220
102223050688
11a40943981
125205b3800
13295742511
1417135b94c
15d0271a43
hex84810fc0

2223050688 has 84 divisors (see below), whose sum is σ = 6407478168. Its totient is φ = 736888320.

The previous prime is 2223050681. The next prime is 2223050689. The reversal of 2223050688 is 8860503222.

It is a super-2 number, since 2×22230506882 = 9883908722834546688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223050681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93595 + ... + 114917.

It is an arithmetic number, because the mean of its divisors is an integer number (76279502).

Almost surely, 22223050688 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 2223050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203739084).

2223050688 is an abundant number, since it is smaller than the sum of its proper divisors (4184427480).

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

2223050688 is a wasteful number, since it uses less digits than its factorization.

2223050688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21522 (or 21509 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2223050688 is about 47149.2384668088. The cubic root of 2223050688 is about 1305.1180269346.

The spelling of 2223050688 in words is "two billion, two hundred twenty-three million, fifty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 21323 26064 34752 42646 52128 63969 85292 104256 127938 170584 191907 255876 341168 383814 511752 682336 767628 1023504 1364672 1535256 2047008 3070512 3859463 4094016 6141024 7718926 11578389 12282048 15437852 23156778 30875704 34735167 46313556 61751408 69470334 92627112 123502816 138940668 185254224 247005632 277881336 370508448 555762672 741016896 1111525344 2223050688