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22140233323344 = 24326715115197353
BaseRepresentation
bin1010000100010111011001…
…01111100001001101010000
32220101120210221001021211100
411002023230233201031100
510400221144212321334
6115031025513544400
74443402423063153
oct502135457411520
986346727037740
1022140233323344
117066690575274
122596b13415100
13c47a79860c36
14567843313c9a
15285db92c2c99
hex1422ecbe1350

22140233323344 has 120 divisors (see below), whose sum is σ = 63303179930432. Its totient is φ = 7221781670400.

The previous prime is 22140233323253. The next prime is 22140233323441. The reversal of 22140233323344 is 44332333204122.

22140233323344 is a `hidden beast` number, since 2 + 21 + 40 + 233 + 3 + 23 + 344 = 666.

It is a super-2 number, since 2×221402333233442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22140233323299 and 22140233323308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6141829 + ... + 9055524.

Almost surely, 222140233323344 is an apocalyptic number.

22140233323344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22140233323344 is an abundant number, since it is smaller than the sum of its proper divisors (41162946607088).

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

22140233323344 is a wasteful number, since it uses less digits than its factorization.

22140233323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15197585 (or 15197576 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 22140233323344 its reverse (44332333204122), we get a palindrome (66472566527466).

The spelling of 22140233323344 in words is "twenty-two trillion, one hundred forty billion, two hundred thirty-three million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 151 201 268 302 402 453 536 603 604 804 906 1072 1206 1208 1359 1608 1812 2412 2416 2718 3216 3624 4824 5436 7248 9648 10117 10872 20234 21744 30351 40468 60702 80936 91053 121404 161872 182106 242808 364212 485616 728424 1456848 15197353 30394706 45592059 60789412 91184118 121578824 136776177 182368236 243157648 273552354 364736472 547104708 729472944 1018222651 1094209416 2036445302 2188418832 2294800303 3054667953 4072890604 4589600606 6109335906 6884400909 8145781208 9164003859 9179201212 12218671812 13768801818 16291562416 18328007718 18358402424 20653202727 24437343624 27537603636 36656015436 36716804848 41306405454 48874687248 55075207272 73312030872 82612810908 110150414544 146624061744 153751620301 165225621816 307503240602 330451243632 461254860903 615006481204 922509721806 1230012962408 1383764582709 1845019443612 2460025924816 2767529165418 3690038887224 5535058330836 7380077774448 11070116661672 22140233323344