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2220000100 = 225222200001
BaseRepresentation
bin1000010001010010…
…1000001101100100
312201201022200121221
42010110220031210
514021310000400
61004142150124
7106004455333
oct20424501544
95651280557
102220000100
11a3a14aa2a
1251b582344
13294c14b36
14170ba5d1a
15ced6cc1a
hex84528364

2220000100 has 18 divisors (see below), whose sum is σ = 4817400434. Its totient is φ = 888000000.

The previous prime is 2220000077. The next prime is 2220000113. The reversal of 2220000100 is 10000222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 307862116 + 1912137984 = 17546^2 + 43728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11099901 + ... + 11100100.

Almost surely, 22220000100 is an apocalyptic number.

2220000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220000100 is an abundant number, since it is smaller than the sum of its proper divisors (2597400334).

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

2220000100 is a wasteful number, since it uses less digits than its factorization.

2220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22200015 (or 22200008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2220000100 is about 47116.8770187499. The cubic root of 2220000100 is about 1304.5207696079.

Adding to 2220000100 its reverse (10000222), we get a palindrome (2230000322).

It can be divided in two parts, 2220000 and 100, that added together give a square (2220100 = 14902).

The spelling of 2220000100 in words is "two billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 22200001 44400002 88800004 111000005 222000010 444000020 555000025 1110000050 2220000100