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23000200 = 2352115001
BaseRepresentation
bin101011110111…
…1010010001000
31121021112100021
41113233102020
521342001300
62140550224
7366332656
oct127572210
947245307
1023000200
1111a8a433
127852374
1349c3bb2
1430a9dd6
152044d1a
hex15ef488

23000200 has 24 divisors (see below), whose sum is σ = 53475930. Its totient is φ = 9200000.

The previous prime is 23000189. The next prime is 23000261. The reversal of 23000200 is 200032.

It can be written as a sum of positive squares in 3 ways, for example, as 14945956 + 8054244 = 3866^2 + 2838^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 57301 + ... + 57700.

Almost surely, 223000200 is an apocalyptic number.

23000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23000200 is an abundant number, since it is smaller than the sum of its proper divisors (30475730).

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

23000200 is a wasteful number, since it uses less digits than its factorization.

23000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115017 (or 115008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 23000200 is about 4795.8523747088. The cubic root of 23000200 is about 284.3875222920.

Adding to 23000200 its reverse (200032), we get a palindrome (23200232).

The spelling of 23000200 in words is "twenty-three million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 115001 230002 460004 575005 920008 1150010 2300020 2875025 4600040 5750050 11500100 23000200