Search a number
-
+
22401300321 = 3231464317293
BaseRepresentation
bin10100110111001110…
…001011011101100001
32010211011222222000200
4110313032023131201
5331334213102241
614142505335413
71422060624321
oct246716133541
963734888020
1022401300321
119555a4a544
124412197569
13216002a3ba
1411271a3281
158b199c4b6
hex53738b761

22401300321 has 24 divisors (see below), whose sum is σ = 33410347776. Its totient is φ = 14448503520.

The previous prime is 22401300319. The next prime is 22401300323. The reversal of 22401300321 is 12300310422.

22401300321 is a `hidden beast` number, since 2 + 2 + 40 + 1 + 300 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (22401300319) and next prime (22401300323).

It is not a de Polignac number, because 22401300321 - 21 = 22401300319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22401300294 and 22401300303.

It is not an unprimeable number, because it can be changed into a prime (22401300323) 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 23 ways as a sum of consecutive naturals, for example, 1286751 + ... + 1304043.

It is an arithmetic number, because the mean of its divisors is an integer number (1392097824).

Almost surely, 222401300321 is an apocalyptic number.

It is an amenable number.

22401300321 is a deficient number, since it is larger than the sum of its proper divisors (11009047455).

22401300321 is a wasteful number, since it uses less digits than its factorization.

22401300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21973 (or 21970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22401300321 its reverse (12300310422), we get a palindrome (34701610743).

The spelling of 22401300321 in words is "twenty-two billion, four hundred one million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 31 93 279 4643 13929 17293 41787 51879 143933 155637 431799 536083 1295397 1608249 4824747 80291399 240874197 722622591 2489033369 7467100107 22401300321