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21221122200 = 2335279447703
BaseRepresentation
bin10011110000111000…
…001010000010011000
32000202221021200222220
4103300320022002120
5321430101402300
613425430144040
71350610363635
oct236070120230
960687250886
1021221122200
118aaa852223
124142ab2020
132002686255
14105455318c
15843079da0
hex4f0e0a098

21221122200 has 96 divisors (see below), whose sum is σ = 66618355200. Its totient is φ = 5587320960.

The previous prime is 21221122187. The next prime is 21221122213. The reversal of 21221122200 is 222112212.

It is an interprime number because it is at equal distance from previous prime (21221122187) and next prime (21221122213).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21221122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176452 + ... + 271251.

It is an arithmetic number, because the mean of its divisors is an integer number (693941200).

Almost surely, 221221122200 is an apocalyptic number.

21221122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221122200 is an abundant number, since it is smaller than the sum of its proper divisors (45397233000).

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

21221122200 is a wasteful number, since it uses less digits than its factorization.

21221122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447801 (or 447792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21221122200 its reverse (222112212), we get a palindrome (21443234412).

The spelling of 21221122200 in words is "twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 3160 3950 4740 5925 7900 9480 11850 15800 23700 47400 447703 895406 1343109 1790812 2238515 2686218 3581624 4477030 5372436 6715545 8954060 10744872 11192575 13431090 17908120 22385150 26862180 33577725 35368537 44770300 53724360 67155450 70737074 89540600 106105611 134310900 141474148 176842685 212211222 268621800 282948296 353685370 424422444 530528055 707370740 848844888 884213425 1061056110 1414741480 1768426850 2122112220 2652640275 3536853700 4244224440 5305280550 7073707400 10610561100 21221122200