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22322431343340 = 223557621602689
BaseRepresentation
bin1010001001101010110001…
…00101110011101011101100
32221001000002121202200200000
411010311120211303223230
510411212314410441330
6115250441113504300
74462512441514632
oct504653045635354
987030077680600
1022322431343340
1171269876043a7
1226062a1112090
13c5bcc499281b
145725a8dd3352
1528a9ce956560
hex144d58973aec

22322431343340 has 144 divisors (see below), whose sum is σ = 70228534215840. Its totient is φ = 5951857397760.

The previous prime is 22322431343321. The next prime is 22322431343353. The reversal of 22322431343340 is 4334313422322.

22322431343340 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 4 + 313 + 4 + 334 + 0 = 666.

It is a super-3 number, since 3×223224313433403 (a number of 41 digits) contains 333 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 = 22322431343295 and 22322431343304.

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 47 ways as a sum of consecutive naturals, for example, 36736716 + ... + 37339404.

Almost surely, 222322431343340 is an apocalyptic number.

22322431343340 is a gapful number since it is divisible by the number (20) 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 22322431343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35114267107920).

22322431343340 is an abundant number, since it is smaller than the sum of its proper divisors (47906102872500).

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

22322431343340 is a wasteful number, since it uses less digits than its factorization.

22322431343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610334 (or 610320 counting only the distinct ones).

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

Adding to 22322431343340 its reverse (4334313422322), we get a palindrome (26656744765662).

The spelling of 22322431343340 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred thirty-one million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 7621 15242 22863 30484 38105 45726 68589 76210 91452 114315 137178 152420 205767 228630 274356 342945 411534 457260 602689 617301 685890 823068 1028835 1205378 1234602 1371780 1808067 1851903 2057670 2410756 2469204 3013445 3086505 3616134 3703806 4115340 5424201 6026890 6173010 7232268 7407612 9040335 9259515 10848402 12053780 12346020 16272603 18080670 18519030 21696804 27121005 32545206 36161340 37038060 48817809 54242010 65090412 81363015 97635618 108484020 146453427 162726030 195271236 244089045 292906854 325452060 488178090 585813708 732267135 976356180 1464534270 2929068540 4593092869 9186185738 13779278607 18372371476 22965464345 27558557214 41337835821 45930928690 55117114428 68896393035 82675671642 91861857380 124013507463 137792786070 165351343284 206689179105 248027014926 275585572140 372040522389 413378358210 496054029852 620067537315 744081044778 826756716420 1116121567167 1240135074630 1488162089556 1860202611945 2232243134334 2480270149260 3720405223890 4464486268668 5580607835835 7440810447780 11161215671670 22322431343340