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223230203223313 = 111329476991128521
BaseRepresentation
bin110010110000011011010100…
…111101110101110100010001
31002021101121011200100020112011
4302300123110331311310101
5213224400424011121223
62110434312321102521
765006564351610256
oct6260332475656421
91067347150306464
10223230203223313
1165145441135a40
1221053613487a41
1397736968cc240
143d1a58428542d
151ac1ae34ab80d
hexcb06d4f75d11

223230203223313 has 32 divisors (see below), whose sum is σ = 271305716976000. Its totient is φ = 180862573785600.

The previous prime is 223230203223299. The next prime is 223230203223437. The reversal of 223230203223313 is 313322302032322.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 223230203223313 - 213 = 223230203215121 is a prime.

It is a super-3 number, since 3×2232302032233133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223230203203313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197243493 + ... + 198372013.

It is an arithmetic number, because the mean of its divisors is an integer number (8478303655500).

Almost surely, 2223230203223313 is an apocalyptic number.

It is an amenable number.

223230203223313 is a deficient number, since it is larger than the sum of its proper divisors (48075513752687).

223230203223313 is a wasteful number, since it uses less digits than its factorization.

223230203223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176273.

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 223230203223313 its reverse (313322302032322), we get a palindrome (536552505255635).

The spelling of 223230203223313 in words is "two hundred twenty-three trillion, two hundred thirty billion, two hundred three million, two hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 11 13 29 143 319 377 4147 47699 524689 620087 1128521 1383271 6820957 12413731 14670773 15215981 17982523 32727109 161378503 197807753 359998199 425452417 4679976587 53829323179 592122554969 699781201327 1561050372191 7697593214597 17171554094101 20293654838483 223230203223313