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22112331312 = 2433779173911
BaseRepresentation
bin10100100101111111…
…110110011000110000
32010002001020211001210
4110211333312120300
5330241224100222
614054104000120
71411651500141
oct244577663060
963061224053
1022112331312
11941791a885
124351460040
1321151c2516
1410daa61ac8
1589641bd0c
hex525ff6630

22112331312 has 160 divisors (see below), whose sum is σ = 59819028480. Its totient is φ = 7032130560.

The previous prime is 22112331301. The next prime is 22112331313. The reversal of 22112331312 is 21313321122.

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 (22112331313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24272137 + ... + 24273047.

It is an arithmetic number, because the mean of its divisors is an integer number (373868928).

Almost surely, 222112331312 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 22112331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29909514240).

22112331312 is an abundant number, since it is smaller than the sum of its proper divisors (37706697168).

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

22112331312 is a wasteful number, since it uses less digits than its factorization.

22112331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 22112331312 its reverse (21313321122), we get a palindrome (43425652434).

The spelling of 22112331312 in words is "twenty-two billion, one hundred twelve million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 79 111 148 158 173 222 237 296 316 346 444 474 519 592 632 692 888 911 948 1038 1264 1384 1776 1822 1896 2076 2733 2768 2923 3644 3792 4152 5466 5846 6401 7288 8304 8769 10932 11692 12802 13667 14576 17538 19203 21864 23384 25604 27334 33707 35076 38406 41001 43728 46768 51208 54668 67414 70152 71969 76812 82002 101121 102416 109336 134828 140304 143938 153624 157603 164004 202242 215907 218672 269656 287876 307248 315206 328008 404484 431814 472809 505679 539312 575752 630412 656016 808968 863628 945618 1011358 1151504 1260824 1517037 1617936 1727256 1891236 2022716 2521648 2662853 3034074 3454512 3782472 4045432 5325706 5831311 6068148 7564944 7988559 8090864 10651412 11662622 12136296 12450637 15977118 17493933 21302824 23325244 24272592 24901274 31954236 34987866 37351911 42605648 46650488 49802548 63908472 69975732 74703822 93300976 99605096 127816944 139951464 149407644 199210192 279902928 298815288 460673569 597630576 921347138 1382020707 1842694276 2764041414 3685388552 5528082828 7370777104 11056165656 22112331312