Search a number
-
+
22057633143 = 3271331868787
BaseRepresentation
bin10100100010101111…
…001100010101110111
32002221020022212021200
4110202233030111313
5330133223230033
614044431343543
71410415534230
oct244257142567
962836285250
1022057633143
119399a60287
124337081bb3
132106a80840
1410d36a4087
15891715013
hex522bcc577

22057633143 has 48 divisors (see below), whose sum is σ = 40478570496. Its totient is φ = 11259466560.

The previous prime is 22057633141. The next prime is 22057633183. The reversal of 22057633143 is 34133675022.

22057633143 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 7 + 633 + 14 + 3 = 666.

It is not a de Polignac number, because 22057633143 - 21 = 22057633141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22057633098 and 22057633107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22057633141) 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 47 ways as a sum of consecutive naturals, for example, 409005 + ... + 459782.

It is an arithmetic number, because the mean of its divisors is an integer number (843303552).

Almost surely, 222057633143 is an apocalyptic number.

22057633143 is a deficient number, since it is larger than the sum of its proper divisors (18420937353).

22057633143 is a wasteful number, since it uses less digits than its factorization.

22057633143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868844 (or 868841 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 22057633143 in words is "twenty-two billion, fifty-seven million, six hundred thirty-three thousand, one hundred forty-three".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 117 217 273 279 403 651 819 1209 1953 2821 3627 8463 25389 868787 2606361 6081509 7819083 11294231 18244527 26932397 33882693 54733581 79059617 80797191 101648079 188526779 237178851 242391573 350121161 565580337 711536553 1050363483 1696741011 2450848127 3151090449 7352544381 22057633143