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12210828 = 2237172503
BaseRepresentation
bin101110100101…
…001010001100
3211222101002220
4232211022030
511111221303
61113415340
7205535040
oct56451214
924871086
1012210828
1169901a3
12410a550
1326b6c56
14189c020
151113053
hexba528c

12210828 has 72 divisors (see below), whose sum is σ = 34659072. Its totient is φ = 3277056.

The previous prime is 12210823. The next prime is 12210853. The reversal of 12210828 is 82801221.

It is a junction number, because it is equal to n+sod(n) for n = 12210798 and 12210807.

It is not an unprimeable number, because it can be changed into a prime (12210823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24025 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (481376).

Almost surely, 212210828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329536).

12210828 is an abundant number, since it is smaller than the sum of its proper divisors (22448244).

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

12210828 is a wasteful number, since it uses less digits than its factorization.

12210828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12210828 is about 3494.3995192307. The cubic root of 12210828 is about 230.2758379287.

The spelling of 12210828 in words is "twelve million, two hundred ten thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 503 578 714 867 1006 1156 1428 1509 1734 2012 2023 3018 3468 3521 4046 6036 6069 7042 8092 8551 10563 12138 14084 17102 21126 24276 25653 34204 42252 51306 59857 102612 119714 145367 179571 239428 290734 359142 436101 581468 718284 872202 1017569 1744404 2035138 3052707 4070276 6105414 12210828