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22144033044122 = 211174310113633121
BaseRepresentation
bin1010000100011110011110…
…01110010011011010011010
32220101221121201220002211112
411002033033032103122122
510400301434424402442
6115032454531100322
74443565532140253
oct502171716233232
986357551802745
1022144033044122
1170682603a5780
1225977b3a416a2
13c48233b2b222
14567ac3c11b2a
1528603cb86082
hex1423cf39369a

22144033044122 has 64 divisors (see below), whose sum is σ = 39648172595328. Its totient is φ = 9161456640000.

The previous prime is 22144033044109. The next prime is 22144033044209.

It is a happy number.

22144033044122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5192279 + ... + 8440842.

It is an arithmetic number, because the mean of its divisors is an integer number (619502696802).

Almost surely, 222144033044122 is an apocalyptic number.

22144033044122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22144033044122 is a deficient number, since it is larger than the sum of its proper divisors (17504139551206).

22144033044122 is a wasteful number, since it uses less digits than its factorization.

22144033044122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633295.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 2214403 and 3044122, that added together give a palindrome (5258525).

The spelling of 22144033044122 in words is "twenty-two trillion, one hundred forty-four billion, thirty-three million, forty-four thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 43 86 101 187 202 374 473 731 946 1111 1462 1717 2222 3434 4343 8041 8686 16082 18887 37774 47773 73831 95546 147662 812141 1624282 13633121 27266242 149964331 231763057 299928662 463526114 586224203 1172448406 1376945221 2549393627 2753890442 5098787254 6448466233 9965811451 12896932466 15146397431 19931622902 23408068757 30292794862 46816137514 59208644503 109623925961 118417289006 219247851922 257488756327 514977512654 651295089533 1006546956551 1302590179066 2013093913102 11072016522061 22144033044122