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22299134112 = 25353079341
BaseRepresentation
bin10100110001001000…
…011100100010100000
32010120001202101100000
4110301020130202200
5331132034242422
614124415500000
71416410340543
oct246110344240
963501671300
1022299134112
119503309562
1243a3b27600
132144b08918
1411177aa85a
158a7a1acac
hex53121c8a0

22299134112 has 144 divisors (see below), whose sum is σ = 65983069152. Its totient is φ = 7408039680.

The previous prime is 22299134101. The next prime is 22299134113. The reversal of 22299134112 is 21143199222.

22299134112 is a `hidden beast` number, since 2 + 229 + 9 + 13 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22299134113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382562 + ... + 2391902.

It is an arithmetic number, because the mean of its divisors is an integer number (458215758).

Almost surely, 222299134112 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 22299134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32991534576).

22299134112 is an abundant number, since it is smaller than the sum of its proper divisors (43683935040).

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

22299134112 is an equidigital number, since it uses as much as digits as its factorization.

22299134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9653 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 22299134112 in words is "twenty-two billion, two hundred ninety-nine million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 307 324 432 486 614 648 864 921 972 1228 1296 1842 1944 2456 2592 2763 3684 3888 4912 5526 7368 7776 8289 9341 9824 11052 14736 16578 18682 22104 24867 28023 29472 33156 37364 44208 49734 56046 66312 74601 74728 84069 88416 99468 112092 132624 149202 149456 168138 198936 224184 252207 265248 298404 298912 336276 397872 448368 504414 596808 672552 756621 795744 896736 1008828 1193616 1345104 1513242 2017656 2269863 2387232 2690208 2867687 3026484 4035312 4539726 5735374 6052968 8070624 8603061 9079452 11470748 12105936 17206122 18158904 22941496 24211872 25809183 34412244 36317808 45882992 51618366 68824488 72635616 77427549 91765984 103236732 137648976 154855098 206473464 232282647 275297952 309710196 412946928 464565294 619420392 696847941 825893856 929130588 1238840784 1393695882 1858261176 2477681568 2787391764 3716522352 5574783528 7433044704 11149567056 22299134112