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12229249500 = 223253132361149
BaseRepresentation
bin10110110001110101…
…11000100111011100
31011120021111020112200
423120322320213130
5200021141441000
65341255131500
7612023622426
oct133072704734
934507436480
1012229249500
115206102176
122453673b90
1311cb7c0310
14840255816
154b8956500
hex2d8eb89dc

12229249500 has 576 divisors, whose sum is σ = 44359660800. Its totient is φ = 2813184000.

The previous prime is 12229249469. The next prime is 12229249517. The reversal of 12229249500 is 594292221.

12229249500 is a `hidden beast` number, since 1 + 2 + 22 + 92 + 49 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 82075426 + ... + 82075574.

It is an arithmetic number, because the mean of its divisors is an integer number (77013300).

Almost surely, 212229249500 is an apocalyptic number.

12229249500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12229249500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179830400).

12229249500 is an abundant number, since it is smaller than the sum of its proper divisors (32130411300).

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

12229249500 is a wasteful number, since it uses less digits than its factorization.

12229249500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12229249500 in words is "twelve billion, two hundred twenty-nine million, two hundred forty-nine thousand, five hundred".