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20244314310 = 23511379971663
BaseRepresentation
bin10010110110101001…
…111011100011000110
31221020212020201110220
4102312221323203012
5312430021024220
613144453525210
71314446555343
oct226651734306
957225221426
1020244314310
118649429a80
123b0b943806
131ba81a940c
14da09217ca
157d742a540
hex4b6a7b8c6

20244314310 has 128 divisors (see below), whose sum is σ = 54523183104. Its totient is φ = 4767413760.

The previous prime is 20244314281. The next prime is 20244314333. The reversal of 20244314310 is 1341344202.

It is a super-2 number, since 2×202443143102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12172539 + ... + 12174201.

It is an arithmetic number, because the mean of its divisors is an integer number (425962368).

Almost surely, 220244314310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20244314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27261591552).

20244314310 is an abundant number, since it is smaller than the sum of its proper divisors (34278868794).

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

20244314310 is a wasteful number, since it uses less digits than its factorization.

20244314310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718.

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

Adding to 20244314310 its reverse (1341344202), we get a palindrome (21585658512).

The spelling of 20244314310 in words is "twenty billion, two hundred forty-four million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 997 1110 1221 1663 1994 2035 2442 2991 3326 4070 4985 4989 5982 6105 8315 9970 9978 10967 12210 14955 16630 18293 21934 24945 29910 32901 36586 36889 49890 54835 54879 61531 65802 73778 91465 109670 109758 110667 123062 164505 182930 184445 184593 221334 274395 307655 329010 368890 369186 405779 548790 553335 615310 676841 811558 922965 1106670 1217337 1353682 1658011 1845930 2028895 2030523 2434674 3316022 3384205 4057790 4061046 4974033 6086685 6768410 8290055 9948066 10152615 12173370 16580110 18238121 20305230 24870165 36476242 49740330 54714363 61346407 91190605 109428726 122692814 182381210 184039221 273571815 306732035 368078442 547143630 613464070 674810477 920196105 1349620954 1840392210 2024431431 3374052385 4048862862 6748104770 10122157155 20244314310