Search a number
-
+
22022111210985 = 34554375583237
BaseRepresentation
bin1010000000111011011000…
…00111011010110111101001
32212222021220210110020220000
411000131230013122313221
510341302240432222420
6114500452423053213
74432021305512634
oct500355407326751
985867823406800
1022022111210985
117020585732a06
1225780485a1209
13c398a37376b2
14561c3955ac1b
15282ca410d690
hex14076c1dade9

22022111210985 has 20 divisors (see below), whose sum is σ = 39476673430788. Its totient is φ = 11745125978976.

The previous prime is 22022111210963. The next prime is 22022111210987. The reversal of 22022111210985 is 58901211122022.

22022111210985 is a `hidden beast` number, since 220 + 2 + 211 + 1 + 210 + 9 + 8 + 5 = 666.

22022111210985 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10278076931136 + 11744034279849 = 3205944^2 + 3426957^2 .

It is not a de Polignac number, because 22022111210985 - 210 = 22022111209961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22022111210987) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 27187791214 + ... + 27187792023.

Almost surely, 222022111210985 is an apocalyptic number.

It is an amenable number.

22022111210985 is a deficient number, since it is larger than the sum of its proper divisors (17454562219803).

22022111210985 is an equidigital number, since it uses as much as digits as its factorization.

22022111210985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54375583254 (or 54375583245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 22022111210985 in words is "twenty-two trillion, twenty-two billion, one hundred eleven million, two hundred ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 54375583237 163126749711 271877916185 489380249133 815633748555 1468140747399 2446901245665 4404422242197 7340703736995 22022111210985