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12224380768 = 252383972063
BaseRepresentation
bin10110110001010000…
…10011111101100000
31011112221022212220021
423120220103331200
5200013420141033
65341002523224
7611634344035
oct133050237540
934487285807
1012224380768
115203387226
122451b06514
1311ca7a7202
1483d74938c
154b82e3b2d
hex2d8a13f60

12224380768 has 96 divisors (see below), whose sum is σ = 25690162176. Its totient is φ = 5713686528.

The previous prime is 12224380741. The next prime is 12224380781. The reversal of 12224380768 is 86708342221.

It is a super-2 number, since 2×122243807682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5924505 + ... + 5926567.

It is an arithmetic number, because the mean of its divisors is an integer number (267605856).

Almost surely, 212224380768 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 12224380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12845081088).

12224380768 is an abundant number, since it is smaller than the sum of its proper divisors (13465781408).

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

12224380768 is a wasteful number, since it uses less digits than its factorization.

12224380768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 12224380768 in words is "twelve billion, two hundred twenty-four million, three hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 83 92 97 166 184 194 332 368 388 664 736 776 1328 1552 1909 2063 2231 2656 3104 3818 4126 4462 7636 8051 8252 8924 15272 16102 16504 17848 30544 32204 33008 35696 47449 61088 64408 66016 71392 94898 128816 171229 185173 189796 200111 257632 342458 370346 379592 400222 684916 740692 759184 800444 1369832 1481384 1518368 1600888 2739664 2962768 3201776 3938267 4602553 5479328 5925536 6403552 7876534 9205106 15753068 16609213 18410212 31506136 33218426 36820424 63012272 66436852 73640848 126024544 132873704 147281696 265747408 382011899 531494816 764023798 1528047596 3056095192 6112190384 12224380768