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22201231444 = 227243261261
BaseRepresentation
bin10100101011010010…
…111110100001010100
32010022020112102010021
4110223102332201110
5330432003401234
614111001234524
71414111232200
oct245322764124
963266472107
1022201231444
11946301a867
124377192a44
13212a74a952
1411087a3b00
1589e12c9b4
hex52b4be854

22201231444 has 54 divisors (see below), whose sum is σ = 46271617434. Its totient is φ = 9293387040.

The previous prime is 22201231441. The next prime is 22201231463. The reversal of 22201231444 is 44413210222.

It can be written as a sum of positive squares in only one way, i.e., 15982016400 + 6219215044 = 126420^2 + 78862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201231441) 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 17 ways as a sum of consecutive naturals, for example, 331774 + ... + 393034.

Almost surely, 222201231444 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 22201231444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23135808717).

22201231444 is an abundant number, since it is smaller than the sum of its proper divisors (24070385990).

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

22201231444 is a wasteful number, since it uses less digits than its factorization.

22201231444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61365 (or 61313 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22201231444 its reverse (44413210222), we get a palindrome (66614441666).

The spelling of 22201231444 in words is "twenty-two billion, two hundred one million, two hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 602 1204 1849 2107 3698 4214 7396 8428 12943 25886 51772 61261 90601 122522 181202 245044 362404 428827 857654 1715308 2634223 3001789 5268446 6003578 10536892 12007156 18439561 36879122 73758244 113271589 129076927 226543178 258153854 453086356 516307708 792901123 1585802246 3171604492 5550307861 11100615722 22201231444