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223153093 is a prime number
BaseRepresentation
bin11010100110100…
…00101111000101
3120112220100111101
431103100233011
5424111344333
634050540101
75346525052
oct1523205705
9515810441
10223153093
11104a67249
1262897631
1337302967
14218cc029
15148ce67d
hexd4d0bc5

223153093 has 2 divisors, whose sum is σ = 223153094. Its totient is φ = 223153092.

The previous prime is 223153087. The next prime is 223153111. The reversal of 223153093 is 390351322.

223153093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171557604 + 51595489 = 13098^2 + 7183^2 .

It is a cyclic number.

It is not a de Polignac number, because 223153093 - 217 = 223022021 is a prime.

It is a super-3 number, since 3×2231530933 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223153003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111576546 + 111576547.

It is an arithmetic number, because the mean of its divisors is an integer number (111576547).

Almost surely, 2223153093 is an apocalyptic number.

It is an amenable number.

223153093 is a deficient number, since it is larger than the sum of its proper divisors (1).

223153093 is an equidigital number, since it uses as much as digits as its factorization.

223153093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 223153093 is about 14938.3095763878. The cubic root of 223153093 is about 606.5514383187.

The spelling of 223153093 in words is "two hundred twenty-three million, one hundred fifty-three thousand, ninety-three".