Search a number
-
+
2221212222049 is a prime number
BaseRepresentation
bin100000010100101010100…
…100001100001001100001
321212100100002200001202011
4200110222210030021201
5242343020312101144
64420224422352521
7316322465240032
oct40245244141141
97770302601664
102221212222049
11787013435407
122ba59b58b741
131315c8441712
1479715c48a89
153cba381ea34
hex2052a90c261

2221212222049 has 2 divisors, whose sum is σ = 2221212222050. Its totient is φ = 2221212222048.

The previous prime is 2221212222001. The next prime is 2221212222107. The reversal of 2221212222049 is 9402222121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2194048237824 + 27163984225 = 1481232^2 + 164815^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221212222049 - 29 = 2221212221537 is a prime.

It is a super-3 number, since 3×22212122220493 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221212222049.

It is not a weakly prime, because it can be changed into another prime (2221212222349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110606111024 + 1110606111025.

It is an arithmetic number, because the mean of its divisors is an integer number (1110606111025).

Almost surely, 22221212222049 is an apocalyptic number.

It is an amenable number.

2221212222049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221212222049 is an equidigital number, since it uses as much as digits as its factorization.

2221212222049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 2221212222049 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, forty-nine".