Search a number
-
+
2221012100 = 225222210121
BaseRepresentation
bin1000010001100001…
…1111010010000100
312201210020002211102
42010120133102010
514022034341400
61004215555232
7106016201636
oct20430372204
95653202742
102221012100
11a3a78129a
1251b98bb18
132951aa658
14170d8aa56
15ceebc9d5
hex8461f484

2221012100 has 18 divisors (see below), whose sum is σ = 4819596474. Its totient is φ = 888404800.

The previous prime is 2221012097. The next prime is 2221012103. The reversal of 2221012100 is 12101222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221012097) and next prime (2221012103).

It can be written as a sum of positive squares in 3 ways, for example, as 140375104 + 2080636996 = 11848^2 + 45614^2 .

It is not an unprimeable number, because it can be changed into a prime (2221012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11104961 + ... + 11105160.

Almost surely, 22221012100 is an apocalyptic number.

2221012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221012100 is an abundant number, since it is smaller than the sum of its proper divisors (2598584374).

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

2221012100 is a wasteful number, since it uses less digits than its factorization.

2221012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22210135 (or 22210128 counting only the distinct ones).

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

The square root of 2221012100 is about 47127.6150468067. The cubic root of 2221012100 is about 1304.7189639633.

Adding to 2221012100 its reverse (12101222), we get a palindrome (2233113322).

The spelling of 2221012100 in words is "two billion, two hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22210121 44420242 88840484 111050605 222101210 444202420 555253025 1110506050 2221012100