Search a number
-
+
22745433454722 = 2331123481088683
BaseRepresentation
bin1010010101111110101010…
…11110110011100010000010
32222112102221100212101112000
411022333111132303202002
510440130121431022342
6120213035145044430
74535206021241106
oct512772536634202
988472840771460
1022745433454722
11727a314238500
122674273786716
13c8cb6794c054
14588c56073906
152969da92a44c
hex14afd57b3882

22745433454722 has 48 divisors (see below), whose sum is σ = 55558175396640. Its totient is φ = 6892555590360.

The previous prime is 22745433454693. The next prime is 22745433454727.

22745433454722 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 5 + 43 + 34 + 547 + 22 = 666.

22745433454722 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22745433454727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1740537808 + ... + 1740550875.

It is an arithmetic number, because the mean of its divisors is an integer number (1157461987430).

Almost surely, 222745433454722 is an apocalyptic number.

22745433454722 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22745433454722 is an abundant number, since it is smaller than the sum of its proper divisors (32812741941918).

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

22745433454722 is a wasteful number, since it uses less digits than its factorization.

22745433454722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481088716 (or 3481088699 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 22745433454722 in words is "twenty-two trillion, seven hundred forty-five billion, four hundred thirty-three million, four hundred fifty-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 3481088683 6962177366 10443266049 20886532098 31329798147 38291975513 62659596294 76583951026 93989394441 114875926539 187978788882 229751853078 344627779617 421211730643 689255559234 842423461286 1033883338851 1263635191929 2067766677702 2527270383858 3790905575787 7581811151574 11372716727361 22745433454722