Search a number
-
+
22633244361 = 3271330790017
BaseRepresentation
bin10101000101000010…
…111110011011001001
32011102100102221102200
4111011002332123021
5332323102304421
614221512550413
71430605255110
oct250502763311
964370387380
1022633244361
119664970532
1244779b2409
1321990ba4b0
141149cdcc77
158c7016726
hex5450be6c9

22633244361 has 48 divisors (see below), whose sum is σ = 40368392064. Its totient is φ = 11899395072.

The previous prime is 22633244281. The next prime is 22633244363. The reversal of 22633244361 is 16344233622.

22633244361 is a `hidden beast` number, since 2 + 26 + 33 + 244 + 361 = 666.

It is not a de Polignac number, because 22633244361 - 27 = 22633244233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22633244363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206425 + ... + 296441.

It is an arithmetic number, because the mean of its divisors is an integer number (841008168).

Almost surely, 222633244361 is an apocalyptic number.

22633244361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22633244361 is a deficient number, since it is larger than the sum of its proper divisors (17735147703).

22633244361 is a wasteful number, since it uses less digits than its factorization.

22633244361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90350 (or 90347 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 22633244361 its reverse (16344233622), we get a palindrome (38977477983).

The spelling of 22633244361 in words is "twenty-two billion, six hundred thirty-three million, two hundred forty-four thousand, three hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 307 819 921 2149 2763 3991 6447 11973 19341 27937 35919 83811 90017 251433 270051 630119 810153 1170221 1890357 3510663 5671071 8191547 10531989 24574641 27635219 73723923 82905657 193446533 248716971 359257847 580339599 1077773541 1741018797 2514804929 3233320623 7544414787 22633244361