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2246052100 = 225222460521
BaseRepresentation
bin1000010111100000…
…0000100100000100
312210112100021020211
42011320000210010
514044442131400
61010512405204
7106442061565
oct20570004404
95715307224
102246052100
11a52924206
12528246804
1329a436b16
1417442816c
15d22b6dba
hex85e00904

2246052100 has 18 divisors (see below), whose sum is σ = 4873933274. Its totient is φ = 898420800.

The previous prime is 2246052049. The next prime is 2246052103. The reversal of 2246052100 is 12506422.

It can be written as a sum of positive squares in 3 ways, for example, as 195049156 + 2051002944 = 13966^2 + 45288^2 .

It is not an unprimeable number, because it can be changed into a prime (2246052103) 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, 11230161 + ... + 11230360.

Almost surely, 22246052100 is an apocalyptic number.

2246052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246052100 is an abundant number, since it is smaller than the sum of its proper divisors (2627881174).

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

2246052100 is a wasteful number, since it uses less digits than its factorization.

2246052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22460535 (or 22460528 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2246052100 is about 47392.5321121377. The cubic root of 2246052100 is about 1309.6038465703.

Adding to 2246052100 its reverse (12506422), we get a palindrome (2258558522).

The spelling of 2246052100 in words is "two billion, two hundred forty-six million, fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22460521 44921042 89842084 112302605 224605210 449210420 561513025 1123026050 2246052100