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2243130100 = 225242153281
BaseRepresentation
bin1000010110110011…
…0111001011110100
312210022211211000121
42011230313023310
514043220130400
61010330021324
7106405201621
oct20554671364
95708754017
102243130100
11a51208932
12527277844
13299952b23
14173ca7348
15d1ddb21a
hex85b372f4

2243130100 has 36 divisors (see below), whose sum is σ = 4879245868. Its totient is φ = 895104000.

The previous prime is 2243130091. The next prime is 2243130157. The reversal of 2243130100 is 10313422.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 478121956 + 1765008144 = 21866^2 + 42012^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15460 + ... + 68740.

Almost surely, 22243130100 is an apocalyptic number.

2243130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243130100 is an abundant number, since it is smaller than the sum of its proper divisors (2636115768).

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

2243130100 is a wasteful number, since it uses less digits than its factorization.

2243130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53716 (or 53709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2243130100 is about 47361.6944375938. The cubic root of 2243130100 is about 1309.0356906978.

Adding to 2243130100 its reverse (10313422), we get a palindrome (2253443522).

The spelling of 2243130100 in words is "two billion, two hundred forty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 421 842 1684 2105 4210 8420 10525 21050 42100 53281 106562 213124 266405 532810 1065620 1332025 2664050 5328100 22431301 44862602 89725204 112156505 224313010 448626020 560782525 1121565050 2243130100