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22212101000 = 235322212101
BaseRepresentation
bin10100101011111100…
…011100001110001000
32010022222222122100102
4110223330130032020
5330442244213000
614112030224532
71414302512645
oct245374341610
963288878312
1022212101000
119469174271
12437a955148
13212ca8523b
141109dd2dcc
158a00783d5
hex52bf1c388

22212101000 has 32 divisors (see below), whose sum is σ = 51976318680. Its totient is φ = 8884840000.

The previous prime is 22212100921. The next prime is 22212101017. The reversal of 22212101000 is 10121222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13782290404 + 8429810596 = 117398^2 + 91814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11105051 + ... + 11107050.

Almost surely, 222212101000 is an apocalyptic number.

22212101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212101000 is an abundant number, since it is smaller than the sum of its proper divisors (29764217680).

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

22212101000 is a wasteful number, since it uses less digits than its factorization.

22212101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22212122 (or 22212108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22212101000 its reverse (10121222), we get a palindrome (22222222222).

The spelling of 22212101000 in words is "twenty-two billion, two hundred twelve million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 22212101 44424202 88848404 111060505 177696808 222121010 444242020 555302525 888484040 1110605050 2221210100 2776512625 4442420200 5553025250 11106050500 22212101000