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21221343400 = 2352794572939
BaseRepresentation
bin10011110000111001…
…000000000010101000
32000202221200221102111
4103300321000002220
5321430130442100
613425435012104
71350612304555
oct236071000250
960687627374
1021221343400
118aaa993434
124142b9a034
132002732b3a
1410545ada2c
158430c06ba
hex4f0e400a8

21221343400 has 96 divisors (see below), whose sum is σ = 50090544000. Its totient is φ = 8359902720.

The previous prime is 21221343397. The next prime is 21221343413. The reversal of 21221343400 is 434312212.

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, 7219131 + ... + 7222069.

It is an arithmetic number, because the mean of its divisors is an integer number (521776500).

Almost surely, 221221343400 is an apocalyptic number.

21221343400 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 21221343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045272000).

21221343400 is an abundant number, since it is smaller than the sum of its proper divisors (28869200600).

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

21221343400 is a wasteful number, since it uses less digits than its factorization.

21221343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21221343400 its reverse (434312212), we get a palindrome (21655655612).

The spelling of 21221343400 in words is "twenty-one billion, two hundred twenty-one million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 457 632 790 914 1580 1828 1975 2285 2939 3160 3656 3950 4570 5878 7900 9140 11425 11756 14695 15800 18280 22850 23512 29390 36103 45700 58780 72206 73475 91400 117560 144412 146950 180515 232181 288824 293900 361030 464362 587800 722060 902575 928724 1160905 1343123 1444120 1805150 1857448 2321810 2686246 3610300 4643620 5372492 5804525 6715615 7220600 9287240 10744984 11609050 13431230 23218100 26862460 33578075 46436200 53724920 67156150 106106717 134312300 212213434 268624600 424426868 530533585 848853736 1061067170 2122134340 2652667925 4244268680 5305335850 10610671700 21221343400