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22146462312 = 23313594992411
BaseRepresentation
bin10100101000000010…
…000011001001101000
32010011102110211222220
4110220002003021220
5330323443243222
614101323314040
71412544552342
oct245002031150
963142424886
1022146462312
119435111a17
12436097b920
13211c2b2890
1411013c8292
1589940eb5c
hex528083268

22146462312 has 128 divisors (see below), whose sum is σ = 60782400000. Its totient is φ = 6682602240.

The previous prime is 22146462257. The next prime is 22146462319. The reversal of 22146462312 is 21326464122.

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 (22146462319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9184387 + ... + 9186797.

It is an arithmetic number, because the mean of its divisors is an integer number (474862500).

Almost surely, 222146462312 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 22146462312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30391200000).

22146462312 is an abundant number, since it is smaller than the sum of its proper divisors (38635937688).

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

22146462312 is a wasteful number, since it uses less digits than its factorization.

22146462312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2987 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 22146462312 in words is "twenty-two billion, one hundred forty-six million, four hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 499 708 767 998 1416 1497 1534 1996 2301 2411 2994 3068 3992 4602 4822 5988 6136 6487 7233 9204 9644 11976 12974 14466 18408 19288 19461 25948 28932 29441 31343 38922 51896 57864 58882 62686 77844 88323 94029 117764 125372 142249 155688 176646 188058 235528 250744 284498 353292 376116 382733 426747 568996 706584 752232 765466 853494 1137992 1148199 1203089 1530932 1706988 1849237 2296398 2406178 3061864 3413976 3609267 3698474 4592796 4812356 5547711 7218534 7396948 9185592 9624712 11095422 14437068 14793896 15640157 22190844 28874136 31280314 44381688 46920471 62560628 70982251 93840942 125121256 141964502 187681884 212946753 283929004 375363768 425893506 567858008 851787012 922769263 1703574024 1845538526 2768307789 3691077052 5536615578 7382154104 11073231156 22146462312