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12822288 = 243267131
BaseRepresentation
bin110000111010…
…011100010000
3220010102212120
4300322130100
511240303123
61134454240
7213662523
oct60723420
926112776
1012822288
117268636
124364380
13286c36b
1419babba
1511d42e3
hexc3a710

12822288 has 20 divisors (see below), whose sum is σ = 33124368. Its totient is φ = 4274080.

The previous prime is 12822287. The next prime is 12822289. The reversal of 12822288 is 88222821.

It is an interprime number because it is at equal distance from previous prime (12822287) and next prime (12822289).

It is a super-2 number, since 2×128222882 = 328822139109888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12822281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133518 + ... + 133613.

Almost surely, 212822288 is an apocalyptic number.

It is an amenable number.

12822288 is an abundant number, since it is smaller than the sum of its proper divisors (20302080).

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

12822288 is a wasteful number, since it uses less digits than its factorization.

12822288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267142 (or 267136 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 12822288 is about 3580.8222519416. The cubic root of 12822288 is about 234.0571122192.

It can be divided in two parts, 1282 and 2288, that added together give a triangular number (3570 = T84).

The spelling of 12822288 in words is "twelve million, eight hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 267131 534262 801393 1068524 1602786 2137048 3205572 4274096 6411144 12822288