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21222100000 = 2555239227
BaseRepresentation
bin10011110000111011…
…111000110000100000
32000210000010101021201
4103300323320300200
5321430324200000
613425503130544
71350621605443
oct236073706040
960700111251
1021222100000
11900035a922
1241432a3a54
13200293932a
14105472965a
158431be96a
hex4f0ef8c20

21222100000 has 144 divisors (see below), whose sum is σ = 54499386816. Its totient is φ = 8118880000.

The previous prime is 21222099973. The next prime is 21222100087. The reversal of 21222100000 is 122212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 21222100000.

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, 2295387 + ... + 2304613.

It is an arithmetic number, because the mean of its divisors is an integer number (378467964).

Almost surely, 221222100000 is an apocalyptic number.

21222100000 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 21222100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27249693408).

21222100000 is an abundant number, since it is smaller than the sum of its proper divisors (33277286816).

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

21222100000 is an frugal number, since it uses more digits than its factorization.

21222100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9285 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21222100000 its reverse (122212), we get a palindrome (21222222212).

The spelling of 21222100000 in words is "twenty-one billion, two hundred twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 3680 4000 4600 5000 5750 6250 9200 9227 10000 11500 12500 14375 18400 18454 20000 23000 25000 28750 36908 46000 46135 50000 57500 71875 73816 92000 92270 100000 115000 143750 147632 184540 212221 230000 230675 287500 295264 369080 424442 460000 461350 575000 738160 848884 922700 1061105 1150000 1153375 1476320 1697768 1845400 2122210 2300000 2306750 3395536 3690800 4244420 4613500 5305525 5766875 6791072 7381600 8488840 9227000 10611050 11533750 16977680 18454000 21222100 23067500 26527625 28834375 33955360 36908000 42444200 46135000 53055250 57668750 84888400 92270000 106110500 115337500 132638125 169776800 184540000 212221000 230675000 265276250 424442000 461350000 530552500 663190625 848884000 922700000 1061105000 1326381250 2122210000 2652762500 4244420000 5305525000 10611050000 21222100000