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12231330 = 2351729827
BaseRepresentation
bin101110101010…
…001010100010
3212000102020020
4232222022202
511112400310
61114054310
7205651566
oct56521242
925012206
1012231330
1169a4641
12411a396
1326c3397
1418a56a6
151119170
hexbaa2a2

12231330 has 64 divisors (see below), whose sum is σ = 32192640. Its totient is φ = 2960384.

The previous prime is 12231311. The next prime is 12231367. The reversal of 12231330 is 3313221.

12231330 = T400 + T401 + ... + T515.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14377 + ... + 15203.

It is an arithmetic number, because the mean of its divisors is an integer number (503010).

Almost surely, 212231330 is an apocalyptic number.

12231330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096320).

12231330 is an abundant number, since it is smaller than the sum of its proper divisors (19961310).

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

12231330 is a wasteful number, since it uses less digits than its factorization.

12231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 12231330 is about 3497.3318401318. The cubic root of 12231330 is about 230.4046437022.

Adding to 12231330 its reverse (3313221), we get a palindrome (15544551).

It can be divided in two parts, 12231 and 330, that added together give a triangular number (12561 = T158).

The spelling of 12231330 in words is "twelve million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 827 870 986 1479 1654 2465 2481 2958 4135 4930 4962 7395 8270 12405 14059 14790 23983 24810 28118 42177 47966 70295 71949 84354 119915 140590 143898 210885 239830 359745 407711 421770 719490 815422 1223133 2038555 2446266 4077110 6115665 12231330