Search a number
-
+
22681727328 = 2531318174461
BaseRepresentation
bin10101000111111011…
…111011000101100000
32011112201200010120010
4111013323323011200
5332423010233303
614230404044520
71432034333631
oct250773730540
964481603503
1022681727328
11968a2754a7
124490093740
1321a6164240
14115251d888
158cb3e1c03
hex547efb160

22681727328 has 48 divisors (see below), whose sum is σ = 64119501936. Its totient is φ = 6978992640.

The previous prime is 22681727297. The next prime is 22681727329. The reversal of 22681727328 is 82372718622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22681727329) 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, 9085983 + ... + 9088478.

It is an arithmetic number, because the mean of its divisors is an integer number (1335822957).

Almost surely, 222681727328 is an apocalyptic number.

It is an amenable number.

22681727328 is an abundant number, since it is smaller than the sum of its proper divisors (41437774608).

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

22681727328 is a wasteful number, since it uses less digits than its factorization.

22681727328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18174487 (or 18174479 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 22681727328 in words is "twenty-two billion, six hundred eighty-one million, seven hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 18174461 36348922 54523383 72697844 109046766 145395688 218093532 236267993 290791376 436187064 472535986 581582752 708803979 872374128 945071972 1417607958 1744748256 1890143944 2835215916 3780287888 5670431832 7560575776 11340863664 22681727328