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13222344330 = 23251364717467
BaseRepresentation
bin11000101000001110…
…01111011010001010
31021010111011200112200
430110013033122022
5204034410004310
610024012421030
7645443033556
oct142407173212
937114150480
1013222344330
115675739aa8
122690177776
1313294804b0
148d60c6866
15525c219c0
hex3141cf68a

13222344330 has 96 divisors (see below), whose sum is σ = 37081908864. Its totient is φ = 3249514368.

The previous prime is 13222344319. The next prime is 13222344349. The reversal of 13222344330 is 3344322231.

13222344330 is a `hidden beast` number, since 1 + 3 + 2 + 223 + 4 + 433 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13222344294 and 13222344303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748257 + ... + 765723.

It is an arithmetic number, because the mean of its divisors is an integer number (386269884).

Almost surely, 213222344330 is an apocalyptic number.

13222344330 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 13222344330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540954432).

13222344330 is an abundant number, since it is smaller than the sum of its proper divisors (23859564534).

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

13222344330 is a wasteful number, since it uses less digits than its factorization.

13222344330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18140 (or 18137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 13222344330 its reverse (3344322231), we get a palindrome (16566666561).

The spelling of 13222344330 in words is "thirteen billion, two hundred twenty-two million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 647 1170 1294 1941 3235 3882 5823 6470 8411 9705 11646 16822 17467 19410 25233 29115 34934 42055 50466 52401 58230 75699 84110 87335 104802 126165 151398 157203 174670 227071 252330 262005 314406 378495 454142 524010 681213 756990 786015 1135355 1362426 1572030 2043639 2270710 3406065 4087278 6812130 10218195 11301149 20436390 22602298 33903447 56505745 67806894 101710341 113011490 146914937 169517235 203420682 293829874 339034470 440744811 508551705 734574685 881489622 1017103410 1322234433 1469149370 2203724055 2644468866 4407448110 6611172165 13222344330