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12224820 = 2235673041
BaseRepresentation
bin101110101000…
…100100110100
3212000002022010
4232220210310
511112143240
61114004220
7205623606
oct56504464
925002263
1012224820
11699a763
124116670
1326c042a
1418a3176
151117280
hexba8934

12224820 has 48 divisors (see below), whose sum is σ = 34751808. Its totient is φ = 3210240.

The previous prime is 12224791. The next prime is 12224831. The reversal of 12224820 is 2842221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 5540.

It is an arithmetic number, because the mean of its divisors is an integer number (723996).

Almost surely, 212224820 is an apocalyptic number.

12224820 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 12224820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375904).

12224820 is an abundant number, since it is smaller than the sum of its proper divisors (22526988).

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

12224820 is a wasteful number, since it uses less digits than its factorization.

12224820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12224820 is about 3496.4010067497. The cubic root of 12224820 is about 230.3637596115.

It can be divided in two parts, 122 and 24820, that added together give a palindrome (24942).

The spelling of 12224820 in words is "twelve million, two hundred twenty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3041 4020 6082 9123 12164 15205 18246 30410 36492 45615 60820 91230 182460 203747 407494 611241 814988 1018735 1222482 2037470 2444964 3056205 4074940 6112410 12224820