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20229436136 = 2371331979241
BaseRepresentation
bin10010110101110001…
…001011001011101000
31221012211020211110102
4102311301023023220
5312412213424021
613143203004532
71314206240630
oct226561131350
957184224412
1020229436136
118640a97868
123b06969748
131ba509a370
14d9c96b6c0
157d5e8c00b
hex4b5c4b2e8

20229436136 has 128 divisors (see below), whose sum is σ = 48691292160. Its totient is φ = 7664025600.

The previous prime is 20229436133. The next prime is 20229436163. The reversal of 20229436136 is 63163492202.

It is a super-2 number, since 2×202294361362 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20229436136.

It is not an unprimeable number, because it can be changed into a prime (20229436133) by changing a digit.

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, 2184476 + ... + 2193716.

It is an arithmetic number, because the mean of its divisors is an integer number (380400720).

Almost surely, 220229436136 is an apocalyptic number.

20229436136 is a gapful number since it is divisible by the number (26) 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 20229436136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345646080).

20229436136 is an abundant number, since it is smaller than the sum of its proper divisors (28461856024).

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

20229436136 is a wasteful number, since it uses less digits than its factorization.

20229436136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 20229436136 in words is "twenty billion, two hundred twenty-nine million, four hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 97 104 124 182 194 217 248 364 388 403 434 679 728 776 806 868 1261 1358 1612 1736 2522 2716 2821 3007 3224 5044 5432 5642 6014 8827 9241 10088 11284 12028 17654 18482 21049 22568 24056 35308 36964 39091 42098 64687 70616 73928 78182 84196 120133 129374 156364 168392 240266 258748 273637 286471 312728 480532 517496 547274 572942 840931 896377 961064 1094548 1145884 1681862 1792754 2005297 2189096 2291768 3363724 3585508 3724123 4010594 6274639 6727448 7171016 7448246 8021188 11652901 12549278 14896492 16042376 23305802 25098556 26068861 27787687 29792984 46611604 50197112 52137722 55575374 81570307 93223208 104275444 111150748 163140614 194513809 208550888 222301496 326281228 361239931 389027618 652562456 722479862 778055236 1444959724 1556110472 2528679517 2889919448 5057359034 10114718068 20229436136