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23263000 = 235343541
BaseRepresentation
bin101100010111…
…1011100011000
31121202212211121
41120233130120
521423404000
62150335024
7401506105
oct130573430
947685747
1023263000
1112149922
12795a474
134a866b7
143137aac
152097b1a
hex162f718

23263000 has 64 divisors (see below), whose sum is σ = 55804320. Its totient is φ = 9072000.

The previous prime is 23262997. The next prime is 23263013. The reversal of 23263000 is 36232.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 42730 + ... + 43270.

Almost surely, 223263000 is an apocalyptic number.

23263000 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 23263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27902160).

23263000 is an abundant number, since it is smaller than the sum of its proper divisors (32541320).

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

23263000 is a wasteful number, since it uses less digits than its factorization.

23263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23263000 is about 4823.1732293170. The cubic root of 23263000 is about 285.4665590819.

Adding to 23263000 its reverse (36232), we get a palindrome (23299232).

The spelling of 23263000 in words is "twenty-three million, two hundred sixty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 541 860 1000 1075 1082 1720 2150 2164 2705 4300 4328 5375 5410 8600 10750 10820 13525 21500 21640 23263 27050 43000 46526 54100 67625 93052 108200 116315 135250 186104 232630 270500 465260 541000 581575 930520 1163150 2326300 2907875 4652600 5815750 11631500 23263000