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2221000100 = 22521110119991
BaseRepresentation
bin1000010001100001…
…1100010110100100
312201210012111100222
42010120130112210
514022034000400
61004215423512
7106016121644
oct20430342644
95653174328
102221000100
11a3a773280
1251b984b98
132951a5057
14170d86524
15ceeb9185
hex8461c5a4

2221000100 has 72 divisors (see below), whose sum is σ = 5310035136. Its totient is φ = 799600000.

The previous prime is 2221000099. The next prime is 2221000121. The reversal of 2221000100 is 10001222.

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, 101105 + ... + 121095.

It is an arithmetic number, because the mean of its divisors is an integer number (73750488).

Almost surely, 22221000100 is an apocalyptic number.

2221000100 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 2221000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655017568).

2221000100 is an abundant number, since it is smaller than the sum of its proper divisors (3089035036).

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

2221000100 is a wasteful number, since it uses less digits than its factorization.

2221000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20117 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2221000100 is about 47127.4877327447. The cubic root of 2221000100 is about 1304.7166141853.

Adding to 2221000100 its reverse (10001222), we get a palindrome (2231001322).

The spelling of 2221000100 in words is "two billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 19991 22220 27775 39982 55550 79964 99955 111100 199910 219901 399820 439802 499775 879604 999550 1099505 1999100 2019091 2199010 4038182 4398020 5497525 8076364 10095455 10995050 20190910 21990100 22210001 40381820 44420002 50477275 88840004 100954550 111050005 201909100 222100010 444200020 555250025 1110500050 2221000100