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2243332100 = 2252181123941
BaseRepresentation
bin1000010110110110…
…1000100000000100
312210100020002010002
42011231220200010
514043243111400
61010334220432
7106410002552
oct20555504004
95710202102
102243332100
11a51336679
12527354718
132999c3a59
14173d1abd2
15d1e2aed5
hex85b68804

2243332100 has 36 divisors (see below), whose sum is σ = 4894965348. Its totient is φ = 892368000.

The previous prime is 2243332099. The next prime is 2243332129. The reversal of 2243332100 is 12333422.

It can be written as a sum of positive squares in 6 ways, for example, as 165431044 + 2077901056 = 12862^2 + 45584^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 43871 + ... + 80070.

Almost surely, 22243332100 is an apocalyptic number.

2243332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243332100 is an abundant number, since it is smaller than the sum of its proper divisors (2651633248).

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

2243332100 is a wasteful number, since it uses less digits than its factorization.

2243332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124136 (or 124129 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2243332100 is about 47363.8269146402. The cubic root of 2243332100 is about 1309.0749835996.

Adding to 2243332100 its reverse (12333422), we get a palindrome (2255665522).

The spelling of 2243332100 in words is "two billion, two hundred forty-three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 123941 247882 495764 619705 1239410 2478820 3098525 6197050 12394100 22433321 44866642 89733284 112166605 224333210 448666420 560833025 1121666050 2243332100