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223221332434331 = 7211414139763329
BaseRepresentation
bin110010110000010011000100…
…001110011101110110011011
31002021100202021110101110201002
4302300103010032131312123
5213224224242100344311
62110430244153215215
765006131465262600
oct6260230416356633
91067322243343632
10223221332434331
11651416a9877980
122105195870150b
1397728b1b4c58a
143d19d820a66a7
151ac177480493b
hexcb04c439dd9b

223221332434331 has 12 divisors (see below), whose sum is σ = 283271598117720. Its totient is φ = 173938700597760.

The previous prime is 223221332434291. The next prime is 223221332434337. The reversal of 223221332434331 is 133434233122322.

223221332434331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-223221332434331 is a prime.

It is a super-3 number, since 3×2232213324343313 (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 (223221332434337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207069881126 + ... + 207069882203.

It is an arithmetic number, because the mean of its divisors is an integer number (23605966509810).

Almost surely, 2223221332434331 is an apocalyptic number.

223221332434331 is a deficient number, since it is larger than the sum of its proper divisors (60050265683389).

223221332434331 is a wasteful number, since it uses less digits than its factorization.

223221332434331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414139763354 (or 414139763347 counting only the distinct ones).

The product of its digits is 373248, while the sum is 38.

Adding to 223221332434331 its reverse (133434233122322), we get a palindrome (356655565556653).

The spelling of 223221332434331 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, three hundred thirty-two million, four hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 11 49 77 539 414139763329 2898978343303 4555537396619 20292848403121 31888761776333 223221332434331