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2232223093 is a prime number
BaseRepresentation
bin1000010100001101…
…0000010101110101
312202120022200102101
42011003100111311
514032422114333
61005300142101
7106213404022
oct20503202565
95676280371
102232223093
11a46039281
12523697931
13297604489
14172668549
15d0e8467d
hex850d0575

2232223093 has 2 divisors, whose sum is σ = 2232223094. Its totient is φ = 2232223092.

The previous prime is 2232223079. The next prime is 2232223109. The reversal of 2232223093 is 3903222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2022031089 + 210192004 = 44967^2 + 14498^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232223093 - 221 = 2230125941 is a prime.

It is a super-3 number, since 3×22322230933 (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 (2232223033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116111546 + 1116111547.

It is an arithmetic number, because the mean of its divisors is an integer number (1116111547).

Almost surely, 22232223093 is an apocalyptic number.

It is an amenable number.

2232223093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232223093 is an equidigital number, since it uses as much as digits as its factorization.

2232223093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 2232223093 is about 47246.4082550198. The cubic root of 2232223093 is about 1306.9105553174.

The spelling of 2232223093 in words is "two billion, two hundred thirty-two million, two hundred twenty-three thousand, ninety-three".