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12822132 = 2232346457
BaseRepresentation
bin110000111010…
…011001110100
3220010102122210
4300322121310
511240302012
61134453420
7213662211
oct60723164
926112583
1012822132
117268504
124364270
13286c27b
1419bab08
1511d423c
hexc3a674

12822132 has 24 divisors (see below), whose sum is σ = 31219776. Its totient is φ = 4088128.

The previous prime is 12822113. The next prime is 12822133. The reversal of 12822132 is 23122821.

It is a happy number.

12822132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12822099 and 12822108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22953 + ... + 23504.

It is an arithmetic number, because the mean of its divisors is an integer number (1300824).

Almost surely, 212822132 is an apocalyptic number.

12822132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12822132 is an abundant number, since it is smaller than the sum of its proper divisors (18397644).

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

12822132 is a wasteful number, since it uses less digits than its factorization.

12822132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46487 (or 46485 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 12822132 is about 3580.8004691689. The cubic root of 12822132 is about 234.0561630112.

Adding to 12822132 its reverse (23122821), we get a palindrome (35944953).

The spelling of 12822132 in words is "twelve million, eight hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 46457 92914 139371 185828 278742 557484 1068511 2137022 3205533 4274044 6411066 12822132