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1214232330 = 2352337199239
BaseRepresentation
bin100100001011111…
…1011011100001010
310010121210101121210
41020113323130022
54441320413310
6320253113550
742042542643
oct11027733412
93117711553
101214232330
115734477a3
1229a7888b6
1316473858c
14b73966ca
15718ec820
hex485fb70a

1214232330 has 128 divisors (see below), whose sum is σ = 3151872000. Its totient is φ = 298577664.

The previous prime is 1214232317. The next prime is 1214232379. The reversal of 1214232330 is 332324121.

1214232330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1214232297 and 1214232306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5080351 + ... + 5080589.

It is an arithmetic number, because the mean of its divisors is an integer number (24624000).

Almost surely, 21214232330 is an apocalyptic number.

1214232330 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 1214232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575936000).

1214232330 is an abundant number, since it is smaller than the sum of its proper divisors (1937639670).

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

1214232330 is a wasteful number, since it uses less digits than its factorization.

1214232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1214232330 is about 34845.8366236198. The cubic root of 1214232330 is about 1066.8432098197.

Adding to 1214232330 its reverse (332324121), we get a palindrome (1546556451).

It can be divided in two parts, 121423 and 2330, that added together give a triangular number (123753 = T497).

The spelling of 1214232330 in words is "one billion, two hundred fourteen million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 199 222 230 239 345 370 398 478 555 597 690 717 851 995 1110 1194 1195 1434 1702 1990 2390 2553 2985 3585 4255 4577 5106 5497 5970 7170 7363 8510 8843 9154 10994 12765 13731 14726 16491 17686 22089 22885 25530 26529 27462 27485 32982 36815 44178 44215 45770 47561 53058 54970 68655 73630 82455 88430 95122 110445 132645 137310 142683 164910 169349 203389 220890 237805 265290 285366 338698 406778 475610 508047 610167 713415 846745 1016094 1016945 1093903 1220334 1426830 1693490 1759757 2033890 2187806 2540235 3050835 3281709 3519514 5080470 5279271 5469515 6101670 6563418 8798785 10558542 10939030 16408545 17597570 26396355 32817090 40474411 52792710 80948822 121423233 202372055 242846466 404744110 607116165 1214232330