Search a number
-
+
22431120114 = 2313733979923
BaseRepresentation
bin10100111000111111…
…111011101011110010
32010220021002222002110
4110320333323223302
5331414331320424
614145452430150
71422602242434
oct247077735362
963807088073
1022431120114
1195708675a7
124420178356
13216626b350
14112b126654
158b43dcc29
hex538ffbaf2

22431120114 has 64 divisors (see below), whose sum is σ = 49103316864. Its totient is φ = 6789505536.

The previous prime is 22431120109. The next prime is 22431120163. The reversal of 22431120114 is 41102113422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255557 + ... + 2265479.

It is an arithmetic number, because the mean of its divisors is an integer number (767239326).

Almost surely, 222431120114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22431120114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24551658432).

22431120114 is an abundant number, since it is smaller than the sum of its proper divisors (26672196750).

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

22431120114 is a wasteful number, since it uses less digits than its factorization.

22431120114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22431120114 its reverse (41102113422), we get a palindrome (63533233536).

The spelling of 22431120114 in words is "twenty-two billion, four hundred thirty-one million, one hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 397 438 794 949 1191 1898 2382 2847 5161 5694 9923 10322 15483 19846 28981 29769 30966 57962 59538 86943 128999 173886 257998 376753 386997 724379 753506 773994 1130259 1448758 2173137 2260518 3939431 4346274 7878862 9416927 11818293 18833854 23636586 28250781 51212603 56501562 102425206 153637809 287578463 307275618 575156926 862735389 1725470778 3738520019 7477040038 11215560057 22431120114