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12233222000334 = 2321514500817513
BaseRepresentation
bin1011001000000100010011…
…0110100000111011001110
31121022111002021102021012200
42302001010312200323032
53100412114313002314
642003510430542330
72401551434215236
oct262010466407316
947274067367180
1012233222000334
113997097999625
121456a693679a6
136a978477640a
1430413bdbccc6
15163332cb5709
hexb2044da0ece

12233222000334 has 24 divisors (see below), whose sum is σ = 26680846222992. Its totient is φ = 4050735760800.

The previous prime is 12233222000333. The next prime is 12233222000449. The reversal of 12233222000334 is 43300022233221.

12233222000334 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 322 + 2 + 0 + 0 + 0 + 334 = 666.

It is a super-2 number, since 2×122332220003342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233222000298 and 12233222000307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233222000333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2250406039 + ... + 2250411474.

It is an arithmetic number, because the mean of its divisors is an integer number (1111701925958).

Almost surely, 212233222000334 is an apocalyptic number.

12233222000334 is an abundant number, since it is smaller than the sum of its proper divisors (14447624222658).

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

12233222000334 is a wasteful number, since it uses less digits than its factorization.

12233222000334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500817672 (or 4500817669 counting only the distinct ones).

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

Adding to 12233222000334 its reverse (43300022233221), we get a palindrome (55533244233555).

The spelling of 12233222000334 in words is "twelve trillion, two hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2718 4500817513 9001635026 13502452539 27004905078 40507357617 81014715234 679623444463 1359246888926 2038870333389 4077740666778 6116611000167 12233222000334