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12222200224 = 2513195926209
BaseRepresentation
bin10110110000111111…
…11111100110100000
31011112210020002202101
423120133333212200
5200012340401344
65340444100144
7611606662543
oct133037774640
934483202671
1012222200224
115202127a23
122451234654
1311ca1c2850
1483d33c85a
154b80129d4
hex2d87ff9a0

12222200224 has 96 divisors (see below), whose sum is σ = 27740664000. Its totient is φ = 5253341184.

The previous prime is 12222200197. The next prime is 12222200227. The reversal of 12222200224 is 42200222221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12222200227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453232 + ... + 479440.

It is an arithmetic number, because the mean of its divisors is an integer number (288965250).

Almost surely, 212222200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870332000).

12222200224 is an abundant number, since it is smaller than the sum of its proper divisors (15518463776).

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

12222200224 is a wasteful number, since it uses less digits than its factorization.

12222200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26310 (or 26302 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 12222200224 its reverse (42200222221), we get a palindrome (54422422445).

The spelling of 12222200224 in words is "twelve billion, two hundred twenty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 59 76 104 118 152 208 236 247 304 416 472 494 608 767 944 988 1121 1534 1888 1976 2242 3068 3952 4484 6136 7904 8968 12272 14573 17936 24544 26209 29146 35872 52418 58292 104836 116584 209672 233168 340717 419344 466336 497971 681434 838688 995942 1362868 1546331 1991884 2725736 3092662 3983768 5451472 6185324 6473623 7967536 10902944 12370648 12947246 15935072 20102303 24741296 25894492 29380289 40204606 49482592 51788984 58760578 80409212 103577968 117521156 160818424 207155936 235042312 321636848 381943757 470084624 643273696 763887514 940169248 1527775028 3055550056 6111100112 12222200224