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12228593 = 131755333
BaseRepresentation
bin101110101001…
…011111110001
3212000021110212
4232221133301
511112303333
61114033505
7205640606
oct56513761
925007425
1012228593
1169a2583
124118895
1326c2070
1418a46ad
151118448
hexba97f1

12228593 has 8 divisors (see below), whose sum is σ = 13944168. Its totient is φ = 10623744.

The previous prime is 12228583. The next prime is 12228599. The reversal of 12228593 is 39582221.

It is a happy number.

12228593 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 339889 + 11888704 = 583^2 + 3448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12228593 - 24 = 12228577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12228599) 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, 27446 + ... + 27887.

It is an arithmetic number, because the mean of its divisors is an integer number (1743021).

Almost surely, 212228593 is an apocalyptic number.

12228593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12228593 is a deficient number, since it is larger than the sum of its proper divisors (1715575).

12228593 is a wasteful number, since it uses less digits than its factorization.

12228593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55363.

The product of its digits is 8640, while the sum is 32.

The square root of 12228593 is about 3496.9405199403. The cubic root of 12228593 is about 230.3874565674.

It can be divided in two parts, 12228 and 593, that added together give a palindrome (12821).

The spelling of 12228593 in words is "twelve million, two hundred twenty-eight thousand, five hundred ninety-three".

Divisors: 1 13 17 221 55333 719329 940661 12228593