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23242222224232 = 23112191569220931
BaseRepresentation
bin1010100100011100000000…
…11001100100001101101000
310001021221020102120200122221
411102032000121210031220
511021300032342133412
6121233155100323424
74616123635144444
oct522160031441550
9101257212520587
1023242222224232
117450a75581a00
1227345b9243574
13cc79696c862b
145a4d029c7824
152a48b4692b07
hex152380664368

23242222224232 has 96 divisors (see below), whose sum is σ = 48236702169600. Its totient is φ = 10490816864000.

The previous prime is 23242222224227. The next prime is 23242222224253.

23242222224232 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105090807 + ... + 105311737.

It is an arithmetic number, because the mean of its divisors is an integer number (502465647600).

Almost surely, 223242222224232 is an apocalyptic number.

23242222224232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23242222224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24118351084800).

23242222224232 is an abundant number, since it is smaller than the sum of its proper divisors (24994479945368).

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

23242222224232 is a wasteful number, since it uses less digits than its factorization.

23242222224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221719 (or 221704 counting only the distinct ones).

The product of its digits is 147456, while the sum is 34.

It can be divided in two parts, 2324222 and 2224232, that added together give a palindrome (4548454).

The spelling of 23242222224232 in words is "twenty-three trillion, two hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 191 242 382 484 569 764 968 1138 1528 2101 2276 4202 4552 6259 8404 12518 16808 23111 25036 46222 50072 68849 92444 108679 137698 184888 217358 220931 275396 434716 441862 550792 869432 883724 1195469 1767448 2390938 2430241 4781876 4860482 9563752 9720964 13150159 19441928 26300318 26732651 42197821 52600636 53465302 84395642 105201272 106930604 125709739 168791284 213861208 251419478 337582568 464176031 502838956 928352062 1005677912 1382807129 1856704124 2765614258 3713408248 5105936341 5531228516 10211872682 11062457032 15210878419 20423745364 24010560149 30421756838 40847490728 48021120298 60843513676 96042240596 121687027352 192084481192 264116161639 528232323278 1056464646556 2112929293112 2905277778029 5810555556058 11621111112116 23242222224232