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2244331100 = 22521110120201
BaseRepresentation
bin1000010111000101…
…1100011001011100
312210102002211111002
42011301130121130
514044022043400
61010411445432
7106421333234
oct20561343134
95712084432
102244331100
11a519591a0
12527756878
13299c8368b
141740dacc4
15d2076ed5
hex85c5c65c

2244331100 has 72 divisors (see below), whose sum is σ = 5365812816. Its totient is φ = 808000000.

The previous prime is 2244331097. The next prime is 2244331127. The reversal of 2244331100 is 11334422.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101000 + ... + 121200.

It is an arithmetic number, because the mean of its divisors is an integer number (74525178).

Almost surely, 22244331100 is an apocalyptic number.

2244331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682906408).

2244331100 is an abundant number, since it is smaller than the sum of its proper divisors (3121481716).

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

2244331100 is a wasteful number, since it uses less digits than its factorization.

2244331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20327 (or 20320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2244331100 is about 47374.3717636445. The cubic root of 2244331100 is about 1309.2692737261.

Adding to 2244331100 its reverse (11334422), we get a palindrome (2255665522).

The spelling of 2244331100 in words is "two billion, two hundred forty-four million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 20201 22220 27775 40402 55550 80804 101005 111100 202010 222211 404020 444422 505025 888844 1010050 1111055 2020100 2040301 2222110 4080602 4444220 5555275 8161204 10201505 11110550 20403010 22221100 22443311 40806020 44886622 51007525 89773244 102015050 112216555 204030100 224433110 448866220 561082775 1122165550 2244331100