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21505502200 = 23527213168803
BaseRepresentation
bin10100000001110100…
…111110101111111000
32001111202101201000111
4110001310332233320
5323020402032300
613513545314104
71360632516100
oct240164765770
961452351014
1021505502200
119136328116
124202195934
132049575440
14108021c200
1585d0009ba
hex501d3ebf8

21505502200 has 144 divisors (see below), whose sum is σ = 62638100280. Its totient is φ = 6806096640.

The previous prime is 21505502191. The next prime is 21505502243. The reversal of 21505502200 is 220550512.

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 35 ways as a sum of consecutive naturals, for example, 42999 + ... + 211801.

Almost surely, 221505502200 is an apocalyptic number.

21505502200 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 21505502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31319050140).

21505502200 is an abundant number, since it is smaller than the sum of its proper divisors (41132598080).

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

21505502200 is a wasteful number, since it uses less digits than its factorization.

21505502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168846 (or 168830 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 21505502200 in words is "twenty-one billion, five hundred five million, five hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 25480 31850 63700 127400 168803 337606 675212 844015 1181621 1350424 1688030 2194439 2363242 3376060 4220075 4388878 4726484 5908105 6752120 8271347 8440150 8777756 9452968 10972195 11816210 15361073 16542694 16880300 17555512 21944390 23632420 29540525 30722146 33085388 33760600 41356735 43888780 47264840 54860975 59081050 61444292 66170776 76805365 82713470 87777560 107527511 109721950 118162100 122888584 153610730 165426940 206783675 215055022 219443900 236324200 307221460 330853880 384026825 413567350 430110044 438887800 537637555 614442920 768053650 827134700 860220088 1075275110 1536107300 1654269400 2150550220 2688187775 3072214600 4301100440 5376375550 10752751100 21505502200