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2242304093 is a prime number
BaseRepresentation
bin1000010110100110…
…1101100001011101
312210021021211221202
42011221231201131
514043012212333
61010300205245
7106365161501
oct20551554135
95707254852
102242304093
11a507a4287
12526b39825
13299723b73
14173b30301
15d1cc65e8
hex85a6d85d

2242304093 has 2 divisors, whose sum is σ = 2242304094. Its totient is φ = 2242304092.

The previous prime is 2242304069. The next prime is 2242304111. The reversal of 2242304093 is 3904032422.

2242304093 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., 2221991044 + 20313049 = 47138^2 + 4507^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242304093 - 226 = 2175195229 is a prime.

It is a super-3 number, since 3×22423040933 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242304023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121152046 + 1121152047.

It is an arithmetic number, because the mean of its divisors is an integer number (1121152047).

Almost surely, 22242304093 is an apocalyptic number.

It is an amenable number.

2242304093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242304093 is an equidigital number, since it uses as much as digits as its factorization.

2242304093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2242304093 is about 47352.9734335659. The cubic root of 2242304093 is about 1308.8749918314.

The spelling of 2242304093 in words is "two billion, two hundred forty-two million, three hundred four thousand, ninety-three".