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21540246200 = 23521113970439
BaseRepresentation
bin10100000011111001…
…100001001010111000
32001121011202212211022
4110003321201022320
5323103300334300
613521230122012
71361534033414
oct240371411270
961534685738
1021540246200
1191539a8870
124211950308
13205381b815
141084aa3d44
158610b5285
hex503e612b8

21540246200 has 96 divisors (see below), whose sum is σ = 55027728000. Its totient is φ = 7776355200.

The previous prime is 21540246199. The next prime is 21540246227. The reversal of 21540246200 is 264204512.

It is a super-2 number, since 2×215402462002 (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 21540246200.

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, 270581 + ... + 341019.

It is an arithmetic number, because the mean of its divisors is an integer number (573205500).

Almost surely, 221540246200 is an apocalyptic number.

21540246200 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 21540246200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27513864000).

21540246200 is an abundant number, since it is smaller than the sum of its proper divisors (33487481800).

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

21540246200 is a wasteful number, since it uses less digits than its factorization.

21540246200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70605 (or 70596 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 21540246200 in words is "twenty-one billion, five hundred forty million, two hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 139 200 220 275 278 440 550 556 695 1100 1112 1390 1529 2200 2780 3058 3475 5560 6116 6950 7645 12232 13900 15290 27800 30580 38225 61160 70439 76450 140878 152900 281756 305800 352195 563512 704390 774829 1408780 1549658 1760975 2817560 3099316 3521950 3874145 6198632 7043900 7748290 9791021 14087800 15496580 19370725 19582042 30993160 38741450 39164084 48955105 77482900 78328168 97910210 107701231 154965800 195820420 215402462 244775525 391640840 430804924 489551050 538506155 861609848 979102100 1077012310 1958204200 2154024620 2692530775 4308049240 5385061550 10770123100 21540246200