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223212221023230 = 232512719528628261
BaseRepresentation
bin110010110000001010100101…
…001001001100001111111110
31002021022212202110122211101200
4302300022211021030033332
5213224102112040220410
62110422140112120330
765005356630462045
oct6260124511141776
91067285673584350
10223212221023230
116513885370095a
12210500352360a6
139771a8c29186a
143d19759d6d55c
151ac13de96c3c0
hexcb02a524c3fe

223212221023230 has 48 divisors (see below), whose sum is σ = 584921473703424. Its totient is φ = 59054571858240.

The previous prime is 223212221023153. The next prime is 223212221023241. The reversal of 223212221023230 is 32320122212322.

223212221023230 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 122 + 210 + 2 + 323 + 0 = 666.

It is a super-3 number, since 3×2232122210232303 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223212221023194 and 223212221023203.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 9764302701 + ... + 9764325560.

It is an arithmetic number, because the mean of its divisors is an integer number (12185864035488).

Almost surely, 2223212221023230 is an apocalyptic number.

223212221023230 is an abundant number, since it is smaller than the sum of its proper divisors (361709252680194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223212221023230 is a wasteful number, since it uses less digits than its factorization.

223212221023230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19528628401 (or 19528628398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223212221023230 its reverse (32320122212322), we get a palindrome (255532343235552).

The spelling of 223212221023230 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred twenty-one million, twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 11430 19528628261 39057256522 58585884783 97643141305 117171769566 175757654349 195286282610 292929423915 351515308698 585858847830 878788271745 1757576543490 2480135789147 4960271578294 7440407367441 12400678945735 14880814734882 22321222102323 24801357891470 37202036837205 44642444204646 74404073674410 111606110511615 223212221023230