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22444422 = 237111337101
BaseRepresentation
bin101010110011…
…1100110000110
31120020021221220
41111213212012
521221210142
62121021210
7361526430
oct125474606
946207856
1022444422
111173a910
127624806
13485ac30
142da3650
151e852ec
hex1567986

22444422 has 128 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 5184000.

The previous prime is 22444393. The next prime is 22444423.

22444422 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22444392 and 22444401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222172 + ... + 222272.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 222444422 is an apocalyptic number.

22444422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22444422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064).

22444422 is an abundant number, since it is smaller than the sum of its proper divisors (40067706).

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

22444422 is a wasteful number, since it uses less digits than its factorization.

22444422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its digits is 4096, while the sum is 24.

The square root of 22444422 is about 4737.5544324050. The cubic root of 22444422 is about 282.0781685621.

It can be divided in two parts, 2244 and 4422, that added together give a palindrome (6666).

The spelling of 22444422 in words is "twenty-two million, four hundred forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 101 111 143 154 182 202 222 231 259 273 286 303 407 429 462 481 518 546 606 707 777 814 858 962 1001 1111 1221 1313 1414 1443 1554 2002 2121 2222 2442 2626 2849 2886 3003 3333 3367 3737 3939 4242 5291 5698 6006 6666 6734 7474 7777 7878 8547 9191 10101 10582 11211 14443 15554 15873 17094 18382 20202 22422 23331 26159 27573 28886 31746 37037 41107 43329 46662 48581 52318 55146 74074 78477 82214 86658 97162 101101 111111 123321 145743 156954 202202 222222 246642 287749 291486 303303 340067 534391 575498 606606 680134 863247 1020201 1068782 1603173 1726494 2040402 3206346 3740737 7481474 11222211 22444422