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223222013211213 = 32293195143387999
BaseRepresentation
bin110010110000010011101100…
…110011011011001001001101
31002021100211000220101112000200
4302300103230303123021031
5213224232140340224323
62110430435512444113
765006154402632052
oct6260235463331115
91067324026345020
10223222013211213
1165141a190876a5
1221051b086a9639
13977298cbbb033
143d1a008679029
151ac17b447b443
hexcb04eccdb24d

223222013211213 has 24 divisors (see below), whose sum is σ = 323698083072000. Its totient is φ = 148230756367200.

The previous prime is 223222013211187. The next prime is 223222013211227. The reversal of 223222013211213 is 312112310222322.

223222013211213 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 220 + 13 + 211 + 213 = 666.

223222013211213 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-223222013211213 is a prime.

It is a super-3 number, since 3×2232220132112133 (a number of 44 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 an unprimeable number, because it can be changed into a prime (223222013211913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16549213 + ... + 26838786.

It is an arithmetic number, because the mean of its divisors is an integer number (13487420128000).

Almost surely, 2223222013211213 is an apocalyptic number.

It is an amenable number.

223222013211213 is a deficient number, since it is larger than the sum of its proper divisors (100476069860787).

223222013211213 is a wasteful number, since it uses less digits than its factorization.

223222013211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43390249 (or 43390246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 223222013211213 its reverse (312112310222322), we get a palindrome (535334323433535).

The spelling of 223222013211213 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, thirteen million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 9 293 879 1951 2637 5853 17559 571643 1714929 5144787 43387999 130163997 390491991 12712683707 38138051121 84649986049 114414153363 253949958147 761849874441 24802445912357 74407337737071 223222013211213