Search a number
-
+
23001100 = 2252673433
BaseRepresentation
bin101011110111…
…1100000001100
31121021120120121
41113233200030
521342013400
62140554324
7366335413
oct127574014
947246517
1023001100
1111a90081
1278529a4
1349c4425
1430aa47a
15204521a
hex15ef80c

23001100 has 36 divisors (see below), whose sum is σ = 50672104. Its totient is φ = 9060480.

The previous prime is 23001053. The next prime is 23001103. The reversal of 23001100 is 110032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4984 + ... + 8416.

Almost surely, 223001100 is an apocalyptic number.

23001100 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 23001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336052).

23001100 is an abundant number, since it is smaller than the sum of its proper divisors (27671004).

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

23001100 is a wasteful number, since it uses less digits than its factorization.

23001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 23001100 is about 4795.9462048693. The cubic root of 23001100 is about 284.3912316139.

Adding to 23001100 its reverse (110032), we get a palindrome (23111132).

The spelling of 23001100 in words is "twenty-three million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 3433 6700 6866 13732 17165 34330 68660 85825 171650 230011 343300 460022 920044 1150055 2300110 4600220 5750275 11500550 23001100