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2200002100 = 225222000021
BaseRepresentation
bin1000001100100001…
…0101111000110100
312200022200200112021
42003020111320310
514001200031400
61002145402524
7105342465202
oct20310257064
95608620467
102200002100
11a2993115a
12514939444
13290a325ba
1416c27c072
15cd21c71a
hex83215e34

2200002100 has 18 divisors (see below), whose sum is σ = 4774004774. Its totient is φ = 880000800.

The previous prime is 2200002083. The next prime is 2200002107. The reversal of 2200002100 is 12000022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 50381604 + 2149620496 = 7098^2 + 46364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200002107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10999911 + ... + 11000110.

Almost surely, 22200002100 is an apocalyptic number.

2200002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200002100 is an abundant number, since it is smaller than the sum of its proper divisors (2574002674).

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

2200002100 is a wasteful number, since it uses less digits than its factorization.

2200002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000035 (or 22000028 counting only the distinct ones).

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

The square root of 2200002100 is about 46904.1799843042. The cubic root of 2200002100 is about 1300.5918606758.

Adding to 2200002100 its reverse (12000022), we get a palindrome (2212002122).

The spelling of 2200002100 in words is "two billion, two hundred million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22000021 44000042 88000084 110000105 220000210 440000420 550000525 1100001050 2200002100