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223233322253 is a prime number
BaseRepresentation
bin1100111111100110111…
…1100010110100001101
3210100012111212202001012
43033321233202310031
512124140212303003
6250315120455005
722061633634254
oct3177157426415
9710174782035
10223233322253
1186744433077
123732047a465
1318087831836
14ab3998779b
155c17ec18d8
hex33f9be2d0d

223233322253 has 2 divisors, whose sum is σ = 223233322254. Its totient is φ = 223233322252.

The previous prime is 223233322231. The next prime is 223233322307. The reversal of 223233322253 is 352223332322.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129206459209 + 94026863044 = 359453^2 + 306638^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223233322253 is a prime.

It is a super-3 number, since 3×2232333222533 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223233322223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111616661126 + 111616661127.

It is an arithmetic number, because the mean of its divisors is an integer number (111616661127).

Almost surely, 2223233322253 is an apocalyptic number.

It is an amenable number.

223233322253 is a deficient number, since it is larger than the sum of its proper divisors (1).

223233322253 is an equidigital number, since it uses as much as digits as its factorization.

223233322253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 32.

Adding to 223233322253 its reverse (352223332322), we get a palindrome (575456654575).

The spelling of 223233322253 in words is "two hundred twenty-three billion, two hundred thirty-three million, three hundred twenty-two thousand, two hundred fifty-three".