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223222404222281 is a prime number
BaseRepresentation
bin110010110000010100000100…
…000111000000110101001001
31002021100212001011010221101002
4302300110010013000311021
5213224233440440103111
62110430542401304345
765006200161315032
oct6260240407006511
91067325034127332
10223222404222281
11651420a9873042
1221051bb76350b5
139772a22c03029
143d1a04457da89
151ac17d896663b
hexcb05041c0d49

223222404222281 has 2 divisors, whose sum is σ = 223222404222282. Its totient is φ = 223222404222280.

The previous prime is 223222404222269. The next prime is 223222404222359. The reversal of 223222404222281 is 182222404222322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207414464375881 + 15807939846400 = 14401891^2 + 3975920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223222404222281 is a prime.

It is a super-3 number, since 3×2232224042222813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223222404222581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111611202111140 + 111611202111141.

It is an arithmetic number, because the mean of its divisors is an integer number (111611202111141).

Almost surely, 2223222404222281 is an apocalyptic number.

It is an amenable number.

223222404222281 is a deficient number, since it is larger than the sum of its proper divisors (1).

223222404222281 is an equidigital number, since it uses as much as digits as its factorization.

223222404222281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196608, while the sum is 38.

The spelling of 223222404222281 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, four hundred four million, two hundred twenty-two thousand, two hundred eighty-one".