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222323222000331 = 32109226629176351
BaseRepresentation
bin110010100011001110101000…
…101011000011001011001011
31002011011220002121011021201200
4302203032220223003023023
5213120020424313002311
62104501513405515243
764554215460454044
oct6243165053031313
91064156077137650
10222323222000331
1164925826956a81
1220b27891272b23
139708cb39b2a7a
143cc8703a2d8cb
151aa820d124556
hexca33a8ac32cb

222323222000331 has 12 divisors (see below), whose sum is σ = 324079722183360. Its totient is φ = 146855706274800.

The previous prime is 222323222000303. The next prime is 222323222000357. The reversal of 222323222000331 is 133000222323222.

222323222000331 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 2 + 322 + 2 + 0 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 222323222000331 - 29 = 222323221999819 is a prime.

It is a super-2 number, since 2×2223232220003312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222323222000295 and 222323222000304.

It is not an unprimeable number, because it can be changed into a prime (222323222000731) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 113314587195 + ... + 113314589156.

It is an arithmetic number, because the mean of its divisors is an integer number (27006643515280).

Almost surely, 2222323222000331 is an apocalyptic number.

222323222000331 is a deficient number, since it is larger than the sum of its proper divisors (101756500183029).

222323222000331 is a wasteful number, since it uses less digits than its factorization.

222323222000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226629176466 (or 226629176463 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 222323222000331 its reverse (133000222323222), we get a palindrome (355323444323553).

The spelling of 222323222000331 in words is "two hundred twenty-two trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 109 327 981 226629176351 679887529053 2039662587159 24702580222259 74107740666777 222323222000331