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23080100 = 22521491549
BaseRepresentation
bin101100000001…
…0110010100100
31121102120221112
41120002302210
521402030400
62142404152
7400114631
oct130026244
947376845
1023080100
111203446a
127890658
134a21384
1430cb188
15205d835
hex1602ca4

23080100 has 36 divisors (see below), whose sum is σ = 50452500. Its totient is φ = 9164160.

The previous prime is 23080097. The next prime is 23080139. The reversal of 23080100 is 108032.

It can be written as a sum of positive squares in 6 ways, for example, as 4227136 + 18852964 = 2056^2 + 4342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14126 + ... + 15674.

Almost surely, 223080100 is an apocalyptic number.

23080100 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 23080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25226250).

23080100 is an abundant number, since it is smaller than the sum of its proper divisors (27372400).

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

23080100 is a wasteful number, since it uses less digits than its factorization.

23080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 23080100 is about 4804.1752674106. The cubic root of 23080100 is about 284.7164513427.

Adding to 23080100 its reverse (108032), we get a palindrome (23188132).

The spelling of 23080100 in words is "twenty-three million, eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 1549 2980 3098 3725 6196 7450 7745 14900 15490 30980 38725 77450 154900 230801 461602 923204 1154005 2308010 4616020 5770025 11540050 23080100