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2230541100 = 22325217197673
BaseRepresentation
bin1000010011110011…
…0101101100101100
312202110011020011100
42010330311230230
514032004303400
61005200123100
7106163200164
oct20474655454
95673136140
102230541100
11a4509a5a7
12523006490
13297165a08
1417234b5a4
15d0c51100
hex84f35b2c

2230541100 has 216 divisors, whose sum is σ = 7793407440. Its totient is φ = 530288640.

The previous prime is 2230541099. The next prime is 2230541111. The reversal of 2230541100 is 11450322.

2230541100 is a `hidden beast` number, since 2 + 23 + 0 + 541 + 100 = 666.

2230541100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286864 + ... + 294536.

It is an arithmetic number, because the mean of its divisors is an integer number (36080590).

Almost surely, 22230541100 is an apocalyptic number.

2230541100 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 2230541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896703720).

2230541100 is an abundant number, since it is smaller than the sum of its proper divisors (5562866340).

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

2230541100 is a wasteful number, since it uses less digits than its factorization.

2230541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2230541100 is about 47228.6046797913. The cubic root of 2230541100 is about 1306.5822179503.

Adding to 2230541100 its reverse (11450322), we get a palindrome (2241991422).

The spelling of 2230541100 in words is "two billion, two hundred thirty million, five hundred forty-one thousand, one hundred".