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21221233212 = 223171131974673
BaseRepresentation
bin10011110000111000…
…100101001000111100
32000202221111100021110
4103300320211020330
5321430113430322
613425432402020
71350611335404
oct236070451074
960687440243
1021221233212
118aaa918673
124142b46310
1320026c493a
141054581804
1584309cc0c
hex4f0e2523c

21221233212 has 96 divisors (see below), whose sum is σ = 53172770112. Its totient is φ = 6563823616.

The previous prime is 21221233183. The next prime is 21221233213. The reversal of 21221233212 is 21233212212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221233213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4538908 + ... + 4543580.

It is an arithmetic number, because the mean of its divisors is an integer number (553883022).

Almost surely, 221221233212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221233212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26586385056).

21221233212 is an abundant number, since it is smaller than the sum of its proper divisors (31951536900).

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

21221233212 is a wasteful number, since it uses less digits than its factorization.

21221233212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 5005 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 21221233212 its reverse (21233212212), we get a palindrome (42454445424).

The spelling of 21221233212 in words is "twenty-one billion, two hundred twenty-one million, two hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 197 204 226 339 394 452 591 678 788 1182 1356 1921 2364 3349 3842 4673 5763 6698 7684 9346 10047 11526 13396 14019 18692 20094 22261 23052 28038 40188 44522 56076 66783 79441 89044 133566 158882 238323 267132 317764 378437 476646 528049 756874 920581 953292 1056098 1135311 1513748 1584147 1841162 2112196 2270622 2761743 3168294 3682324 4541244 5523486 6336588 8976833 11046972 15649877 17953666 26930499 31299754 35907332 46949631 53860998 62599508 93899262 104025653 107721996 187798524 208051306 312076959 416102612 624153918 1248307836 1768436101 3536872202 5305308303 7073744404 10610616606 21221233212