Search a number
-
+
22252311325222 = 21123116318197447
BaseRepresentation
bin1010000111101000001010…
…00111001010101000100110
32220210022002211120200212221
411003310011013022220212
510404040213144401342
6115154323134302554
74454451006300136
oct503640507125046
986708084520787
1022252311325222
1170aa174698a00
1225b4792057a5a
13c554cb715c44
1456d036498ac6
15288c78a39a67
hex143d051caa26

22252311325222 has 48 divisors (see below), whose sum is σ = 38104582634496. Its totient is φ = 9728354631600.

The previous prime is 22252311325193. The next prime is 22252311325303.

22252311325222 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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, 7875898 + ... + 10321549.

It is an arithmetic number, because the mean of its divisors is an integer number (793845471552).

Almost surely, 222252311325222 is an apocalyptic number.

22252311325222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22252311325222 is a deficient number, since it is larger than the sum of its proper divisors (15852271309274).

22252311325222 is a wasteful number, since it uses less digits than its factorization.

22252311325222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197665 (or 18197654 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The spelling of 22252311325222 in words is "twenty-two trillion, two hundred fifty-two billion, three hundred eleven million, three hundred twenty-five thousand, two hundred twenty-two".

Divisors: 1 2 11 22 31 62 121 163 242 326 341 682 1793 3586 3751 5053 7502 10106 19723 39446 55583 111166 611413 1222826 18197447 36394894 200171917 400343834 564120857 1128241714 2201891087 2966183861 4403782174 5932367722 6205329427 12410658854 32628022471 65256044942 68258623697 91951699691 136517247394 183903399382 358908247181 717816494362 1011468696601 2022937393202 11126155662611 22252311325222