Search a number
-
+
221744057777231 = 11176541691812677
BaseRepresentation
bin110010011010110011001111…
…110010110111110001001111
31002002010112011122111100212012
4302122303033302313301033
5213031023312242332411
62103335451442331435
764464323316005213
oct6232631762676117
91062115148440765
10221744057777231
116472214383a010
1220a53598359b7b
1396964b492b642
143ca8680a70943
151a981125b518b
hexc9accfcb7c4f

221744057777231 has 16 divisors (see below), whose sum is σ = 256132706528160. Its totient is φ = 189727141370880.

The previous prime is 221744057777227. The next prime is 221744057777261. The reversal of 221744057777231 is 132777750447122.

It is not a de Polignac number, because 221744057777231 - 22 = 221744057777227 is a prime.

It is a super-2 number, since 2×2217440577772312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221744057777261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121423265 + ... + 123235941.

It is an arithmetic number, because the mean of its divisors is an integer number (16008294158010).

Almost surely, 2221744057777231 is an apocalyptic number.

221744057777231 is a deficient number, since it is larger than the sum of its proper divisors (34388648750929).

221744057777231 is a wasteful number, since it uses less digits than its factorization.

221744057777231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466874.

The product of its (nonzero) digits is 32269440, while the sum is 59.

The spelling of 221744057777231 in words is "two hundred twenty-one trillion, seven hundred forty-four billion, fifty-seven million, seven hundred seventy-seven thousand, two hundred thirty-one".

Divisors: 1 11 17 187 654169 1812677 7195859 11120873 19939447 30815509 122329603 338970599 1185797100413 13043768104543 20158550707021 221744057777231