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2221111993 is a prime number
BaseRepresentation
bin1000010001100011…
…0111101010111001
312201210102011212011
42010120313222321
514022101040433
61004222045521
7106020066112
oct20430675271
95653364764
102221111993
11a3a83a351
1251ba198a1
13295213c69
14170db5209
15ceedc3cd
hex84637ab9

2221111993 has 2 divisors, whose sum is σ = 2221111994. Its totient is φ = 2221111992.

The previous prime is 2221111973. The next prime is 2221112009. The reversal of 2221111993 is 3991111222.

2221111993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2111218704 + 109893289 = 45948^2 + 10483^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221111993 - 221 = 2219014841 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221111903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110555996 + 1110555997.

It is an arithmetic number, because the mean of its divisors is an integer number (1110555997).

Almost surely, 22221111993 is an apocalyptic number.

It is an amenable number.

2221111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221111993 is an equidigital number, since it uses as much as digits as its factorization.

2221111993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 31.

The square root of 2221111993 is about 47128.6748487585. The cubic root of 2221111993 is about 1304.7385241655.

The spelling of 2221111993 in words is "two billion, two hundred twenty-one million, one hundred eleven thousand, nine hundred ninety-three".