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12288822 = 2371371317
BaseRepresentation
bin101110111000…
…001100110110
3212010100002120
4232320030312
511121220242
61115220410
7206311320
oct56701466
925110076
1012288822
116a33857
124147706
1327135c0
1418bc610
15112b1ec
hexbb8336

12288822 has 64 divisors (see below), whose sum is σ = 30772224. Its totient is φ = 3185280.

The previous prime is 12288821. The next prime is 12288823. The reversal of 12288822 is 22888221.

It is an interprime number because it is at equal distance from previous prime (12288821) and next prime (12288823).

It is a super-2 number, since 2×122888222 = 302030292295368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38608 + ... + 38924.

It is an arithmetic number, because the mean of its divisors is an integer number (480816).

Almost surely, 212288822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386112).

12288822 is an abundant number, since it is smaller than the sum of its proper divisors (18483402).

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

12288822 is a wasteful number, since it uses less digits than its factorization.

12288822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

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

The square root of 12288822 is about 3505.5416129323. The cubic root of 12288822 is about 230.7650766603.

The spelling of 12288822 in words is "twelve million, two hundred eighty-eight thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 71 78 91 142 182 213 273 317 426 497 546 634 923 951 994 1491 1846 1902 2219 2769 2982 4121 4438 5538 6461 6657 8242 12363 12922 13314 19383 22507 24726 28847 38766 45014 57694 67521 86541 135042 157549 173082 292591 315098 472647 585182 877773 945294 1755546 2048137 4096274 6144411 12288822