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20341222440 = 23357112201431
BaseRepresentation
bin10010111100011011…
…100110110000101000
31221111121121011102220
4102330123212300220
5313124323104230
613202234554040
71320034352340
oct227433466050
957447534386
1020341222440
1186990a9540
123b38298920
131bc22a97c6
14dad749d20
157e0bbdd10
hex4bc6e6c28

20341222440 has 128 divisors (see below), whose sum is σ = 76081489920. Its totient is φ = 4226745600.

The previous prime is 20341222439. The next prime is 20341222469. The reversal of 20341222440 is 4422214302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20341222440.

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 31 ways as a sum of consecutive naturals, for example, 1091476 + ... + 1109955.

It is an arithmetic number, because the mean of its divisors is an integer number (594386640).

Almost surely, 220341222440 is an apocalyptic number.

20341222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20341222440 is an abundant number, since it is smaller than the sum of its proper divisors (55740267480).

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

20341222440 is a wasteful number, since it uses less digits than its factorization.

20341222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201463 (or 2201459 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20341222440 its reverse (4422214302), we get a palindrome (24763436742).

The spelling of 20341222440 in words is "twenty billion, three hundred forty-one million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 2201431 4402862 6604293 8805724 11007155 13208586 15410017 17611448 22014310 24215741 26417172 30820034 33021465 44028620 46230051 48431482 52834344 61640068 66042930 72647223 77050085 88057240 92460102 96862964 121078705 123280136 132085860 145294446 154100170 169510187 184920204 193725928 231150255 242157410 264171720 290588892 308200340 339020374 363236115 369840408 462300510 484314820 508530561 581177784 616400680 678040748 726472230 847550935 924601020 968629640 1017061122 1356081496 1452944460 1695101870 1849202040 2034122244 2542652805 2905888920 3390203740 4068244488 5085305610 6780407480 10170611220 20341222440