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13223002200 = 2335246347599
BaseRepresentation
bin11000101000010011…
…10000000001011000
31021010112102002222020
430110021300001120
5204040042032300
610024034454440
7645451443552
oct142411600130
937115362866
1013223002200
1156760492a1
122690434420
131329650a75
148d62184d2
15525d018a0
hex314270058

13223002200 has 96 divisors (see below), whose sum is σ = 41080704000. Its totient is φ = 3518444160.

The previous prime is 13223002193. The next prime is 13223002211. The reversal of 13223002200 is 220032231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13223002200.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 254001 + ... + 301599.

It is an arithmetic number, because the mean of its divisors is an integer number (427924000).

Almost surely, 213223002200 is an apocalyptic number.

13223002200 is a gapful number since it is divisible by the number (10) 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 13223002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540352000).

13223002200 is an abundant number, since it is smaller than the sum of its proper divisors (27857701800).

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

13223002200 is a wasteful number, since it uses less digits than its factorization.

13223002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48081 (or 48072 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13223002200 its reverse (220032231), we get a palindrome (13443034431).

The spelling of 13223002200 in words is "thirteen billion, two hundred twenty-three million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 463 600 926 1389 1852 2315 2778 3704 4630 5556 6945 9260 11112 11575 13890 18520 23150 27780 34725 46300 47599 55560 69450 92600 95198 138900 142797 190396 237995 277800 285594 380792 475990 571188 713985 951980 1142376 1189975 1427970 1903960 2379950 2855940 3569925 4759900 5711880 7139850 9519800 14279700 22038337 28559400 44076674 66115011 88153348 110191685 132230022 176306696 220383370 264460044 330575055 440766740 528920088 550958425 661150110 881533480 1101916850 1322300220 1652875275 2203833700 2644600440 3305750550 4407667400 6611501100 13223002200