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12422432022 = 23711133755901
BaseRepresentation
bin10111001000110111…
…10100010100010110
31012001201222221010220
423210123310110112
5200420120311042
65412355455210
7616560633660
oct134433642426
935051887126
1012422432022
1152a5159050
1224a82b7506
13122c82b4c0
1485bb81530
154ca8b58ec
hex2e46f4516

12422432022 has 128 divisors (see below), whose sum is σ = 34260323328. Its totient is φ = 2897856000.

The previous prime is 12422432021. The next prime is 12422432039. The reversal of 12422432022 is 22023422421.

12422432022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124224320222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12422431983 and 12422432001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422432021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194272 + ... + 250172.

It is an arithmetic number, because the mean of its divisors is an integer number (267658776).

Almost surely, 212422432022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12422432022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130161664).

12422432022 is an abundant number, since it is smaller than the sum of its proper divisors (21837891306).

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

12422432022 is a wasteful number, since it uses less digits than its factorization.

12422432022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55974.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12422432022 its reverse (22023422421), we get a palindrome (34445854443).

It can be divided in two parts, 12422 and 432022, that added together give a palindrome (444444).

The spelling of 12422432022 in words is "twelve billion, four hundred twenty-two million, four hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 55901 74074 111111 111802 167703 222222 335406 391307 614911 726713 782614 1173921 1229822 1453426 1844733 2068337 2180139 2347842 3689466 4136674 4304377 4360278 5086991 6205011 7993843 8608754 10173982 12410022 12913131 14478359 15260973 15987686 22751707 23981529 25826262 26888381 28956718 30521946 43435077 45503414 47963058 53776762 55956901 68255121 80665143 86870154 111913802 136510242 159261949 161330286 167870703 188218667 295772191 318523898 335741406 376437334 477785847 564656001 591544382 887316573 955571694 1129312002 1774633146 2070405337 4140810674 6211216011 12422432022