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21630223350 = 23252439371193
BaseRepresentation
bin10100001001010000…
…110000001111110110
32001211110002012021100
4110021100300033312
5323244314121400
613534202430530
71364005602441
oct241120601766
961743065240
1021630223350
11919a773a4a
124237b02446
132069363238
141092a06658
15868e3a100
hex5094303f6

21630223350 has 144 divisors (see below), whose sum is σ = 59578030512. Its totient is φ = 5623188480.

The previous prime is 21630223337. The next prime is 21630223361. The reversal of 21630223350 is 5332203612.

21630223350 is a `hidden beast` number, since 2 + 1 + 6 + 302 + 2 + 3 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18130354 + ... + 18131546.

It is an arithmetic number, because the mean of its divisors is an integer number (413736323).

Almost surely, 221630223350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21630223350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789015256).

21630223350 is an abundant number, since it is smaller than the sum of its proper divisors (37947807162).

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

21630223350 is a wasteful number, since it uses less digits than its factorization.

21630223350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 21630223350 its reverse (5332203612), we get a palindrome (26962426962).

The spelling of 21630223350 in words is "twenty-one billion, six hundred thirty million, two hundred twenty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 937 1075 1193 1290 1874 1935 2150 2386 2811 3225 3579 3870 4685 5622 5965 6450 7158 8433 9370 9675 10737 11930 14055 16866 17895 19350 21474 23425 28110 29825 35790 40291 42165 46850 51299 53685 59650 70275 80582 84330 89475 102598 107370 120873 140550 153897 178950 201455 210825 241746 256495 268425 307794 362619 402910 421650 461691 512990 536850 604365 725238 769485 923382 1007275 1117841 1208730 1282475 1538970 1813095 2014550 2235682 2308455 2564950 3021825 3353523 3626190 3847425 4616910 5589205 6043650 6707046 7694850 9065475 10060569 11178410 11542275 16767615 18130950 20121138 23084550 27946025 33535230 48067163 50302845 55892050 83838075 96134326 100605690 144201489 167676150 240335815 251514225 288402978 432604467 480671630 503028450 721007445 865208934 1201679075 1442014890 2163022335 2403358150 3605037225 4326044670 7210074450 10815111675 21630223350