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12234816 = 2632111931
BaseRepresentation
bin101110101011…
…000001000000
3212000121000100
4232223001000
511113003231
61114122400
7205665006
oct56530100
925017010
1012234816
1169a7220
124120400
1326c4b49
1418a6a76
15111a1e6
hexbab040

12234816 has 84 divisors (see below), whose sum is σ = 38276784. Its totient is φ = 3705600.

The previous prime is 12234811. The next prime is 12234821. The reversal of 12234816 is 61843221.

It is an interprime number because it is at equal distance from previous prime (12234811) and next prime (12234821).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12234816.

It is not an unprimeable number, because it can be changed into a prime (12234811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5371 + ... + 7301.

It is an arithmetic number, because the mean of its divisors is an integer number (455676).

Almost surely, 212234816 is an apocalyptic number.

12234816 is a gapful number since it is divisible by the number (16) 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 12234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138392).

12234816 is an abundant number, since it is smaller than the sum of its proper divisors (26041968).

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

12234816 is a wasteful number, since it uses less digits than its factorization.

12234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12234816 is about 3497.8301845573. The cubic root of 12234816 is about 230.4265305097.

The spelling of 12234816 in words is "twelve million, two hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 1931 2112 3168 3862 5793 6336 7724 11586 15448 17379 21241 23172 30896 34758 42482 46344 61792 63723 69516 84964 92688 123584 127446 139032 169928 185376 191169 254892 278064 339856 370752 382338 509784 556128 679712 764676 1019568 1112256 1359424 1529352 2039136 3058704 4078272 6117408 12234816