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22012213344 = 2531129371143
BaseRepresentation
bin10100100000000001…
…111011100001100000
32002211001212022000220
4110200001323201200
5330040111311334
614040130043040
71406324504052
oct244001734140
962731768026
1022012213344
119376358760
124323a19480
1320ca53a114
1410cb63d8d2
1588c742449
hex52007b860

22012213344 has 96 divisors (see below), whose sum is σ = 63251000064. Its totient is φ = 6647508480.

The previous prime is 22012213303. The next prime is 22012213351. The reversal of 22012213344 is 44331221022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273837 + ... + 344979.

It is an arithmetic number, because the mean of its divisors is an integer number (658864584).

Almost surely, 222012213344 is an apocalyptic number.

22012213344 is a gapful number since it is divisible by the number (24) 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 22012213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31625500032).

22012213344 is an abundant number, since it is smaller than the sum of its proper divisors (41238786720).

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

22012213344 is a wasteful number, since it uses less digits than its factorization.

22012213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71460 (or 71452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22012213344 its reverse (44331221022), we get a palindrome (66343434366).

The spelling of 22012213344 in words is "twenty-two billion, twelve million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 293 352 528 586 879 1056 1172 1758 2344 3223 3516 4688 6446 7032 9376 9669 12892 14064 19338 25784 28128 38676 51568 71143 77352 103136 142286 154704 213429 284572 309408 426858 569144 782573 853716 1138288 1565146 1707432 2276576 2347719 3130292 3414864 4695438 6260584 6829728 9390876 12521168 18781752 20844899 25042336 37563504 41689798 62534697 75127008 83379596 125069394 166759192 229293889 250138788 333518384 458587778 500277576 667036768 687881667 917175556 1000555152 1375763334 1834351112 2001110304 2751526668 3668702224 5503053336 7337404448 11006106672 22012213344