Search a number
-
+
23000100 = 2235276667
BaseRepresentation
bin101011110111…
…1010000100100
31121021112012120
41113233100210
521342000400
62140545540
7366332454
oct127572044
947245176
1023000100
1111a8a352
1278522b0
1349c3b36
1430a9d64
152044ca0
hex15ef424

23000100 has 36 divisors (see below), whose sum is σ = 66547824. Its totient is φ = 6133280.

The previous prime is 23000093. The next prime is 23000101. The reversal of 23000100 is 100032.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (23000101) 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, 38034 + ... + 38633.

Almost surely, 223000100 is an apocalyptic number.

23000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23000100 is an abundant number, since it is smaller than the sum of its proper divisors (43547724).

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

23000100 is a wasteful number, since it uses less digits than its factorization.

23000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76684 (or 76677 counting only the distinct ones).

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

The square root of 23000100 is about 4795.8419490221. The cubic root of 23000100 is about 284.3871101392.

Adding to 23000100 its reverse (100032), we get a palindrome (23100132).

The spelling of 23000100 in words is "twenty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 76667 153334 230001 306668 383335 460002 766670 920004 1150005 1533340 1916675 2300010 3833350 4600020 5750025 7666700 11500050 23000100