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2221312993 is a prime number
BaseRepresentation
bin1000010001100110…
…1000101111100001
312201210210101120121
42010121220233201
514022124003433
61004230240241
7106021564114
oct20431505741
95653711517
102221312993
11a3a967369
1251bab6081
132952845b3
1417102857b
15d002bc2d
hex84668be1

2221312993 has 2 divisors, whose sum is σ = 2221312994. Its totient is φ = 2221312992.

The previous prime is 2221312957. The next prime is 2221313027. The reversal of 2221312993 is 3992131222.

It is an a-pointer prime, because the next prime (2221313027) can be obtained adding 2221312993 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1941988624 + 279324369 = 44068^2 + 16713^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221312993 - 29 = 2221312481 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221342993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110656496 + 1110656497.

It is an arithmetic number, because the mean of its divisors is an integer number (1110656497).

Almost surely, 22221312993 is an apocalyptic number.

It is an amenable number.

2221312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221312993 is an equidigital number, since it uses as much as digits as its factorization.

2221312993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 34.

The square root of 2221312993 is about 47130.8072602199. The cubic root of 2221312993 is about 1304.7778805080. Note that the first 3 decimals are identical.

The spelling of 2221312993 in words is "two billion, two hundred twenty-one million, three hundred twelve thousand, nine hundred ninety-three".