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22100001220 = 22511412719041
BaseRepresentation
bin10100100101010000…
…110100000111000100
32010001012001101100201
4110211100310013010
5330230100014340
614052543420244
71411441624303
oct244520640704
963035041321
1022100001220
119410969020
1243492b4684
1321127961cb
1410d917243a
158952d379a
hex5254341c4

22100001220 has 96 divisors (see below), whose sum is σ = 52061087232. Its totient is φ = 7810560000.

The previous prime is 22100001163. The next prime is 22100001251. The reversal of 22100001220 is 2210000122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22100001197 and 22100001206.

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 31 ways as a sum of consecutive naturals, for example, 2439900 + ... + 2448940.

It is an arithmetic number, because the mean of its divisors is an integer number (542302992).

Almost surely, 222100001220 is an apocalyptic number.

22100001220 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 22100001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26030543616).

22100001220 is an abundant number, since it is smaller than the sum of its proper divisors (29961086012).

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

22100001220 is a wasteful number, since it uses less digits than its factorization.

22100001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9371 counting only the distinct ones).

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

22100001220 divided by its sum of digits (10) gives a palindrome (2210000122).

Adding to 22100001220 its reverse (2210000122), we get a palindrome (24310001342).

The spelling of 22100001220 in words is "twenty-two billion, one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 9041 11111 11924 14905 18082 22222 29810 36164 44444 45205 55555 59620 90410 99451 111110 122221 180820 198902 222220 244442 370681 397804 488884 497255 611105 741362 994510 1222210 1482724 1853405 1989020 2444420 2450111 3706810 4077491 4900222 7413620 8154982 9800444 12250555 16309964 20387455 24501110 26951221 40774910 49002220 53902442 81549820 100454551 107804884 134756105 200909102 269512210 401818204 502272755 539024420 1004545510 1105000061 2009091020 2210000122 4420000244 5525000305 11050000610 22100001220