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223222232010213 = 327922911811160867
BaseRepresentation
bin110010110000010011111001…
…110110000100110111100101
31002021100211121011002122211100
4302300103321312010313211
5213224233112343311323
62110430513330230313
765006163000454032
oct6260237166046745
91067324534078740
10223222232010213
116514202063a617
1221051b69a25399
1397729c6327bb7
143d1a029752389
151ac17c879a943
hexcb04f9d84de5

223222232010213 has 48 divisors (see below), whose sum is σ = 328217317459200. Its totient is φ = 146165473883520.

The previous prime is 223222232010209. The next prime is 223222232010287. The reversal of 223222232010213 is 312010232222322.

223222232010213 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 222 + 320 + 102 + 13 = 666.

It is not a de Polignac number, because 223222232010213 - 22 = 223222232010209 is a prime.

It is a super-3 number, since 3×2232222320102133 (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 (223222232010413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191708806 + ... + 192869672.

It is an arithmetic number, because the mean of its divisors is an integer number (6837860780400).

Almost surely, 2223222232010213 is an apocalyptic number.

It is an amenable number.

223222232010213 is a deficient number, since it is larger than the sum of its proper divisors (104995085448987).

223222232010213 is a wasteful number, since it uses less digits than its factorization.

223222232010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162362 (or 1162359 counting only the distinct ones).

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

Adding to 223222232010213 its reverse (312010232222322), we get a palindrome (535232464232535).

The spelling of 223222232010213 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, two hundred thirty-two million, ten thousand, two hundred thirteen".

Divisors: 1 3 9 79 229 237 687 711 1181 2061 3543 10629 18091 54273 93299 162819 270449 279897 811347 839691 1160867 2434041 3482601 10447803 21365471 64096413 91708493 192289239 265838543 275125479 797515629 825376437 1370983927 2392546887 4112951781 12338855343 21001244897 63003734691 108307730233 189011204073 313955319283 324923190699 941865957849 974769572097 2825597873547 24802470223357 74407410670071 223222232010213