Search a number
-
+
23233000 = 235373319
BaseRepresentation
bin101100010100…
…0000111101000
31121201100200111
41120220013220
521421424000
62145544104
7401322460
oct130500750
947640614
1023233000
111212932a
127945034
134a75b4b
14312aba0
15208dcba
hex16281e8

23233000 has 64 divisors (see below), whose sum is σ = 62150400. Its totient is φ = 7963200.

The previous prime is 23232997. The next prime is 23233037. The reversal of 23233000 is 33232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5341 + ... + 8659.

It is an arithmetic number, because the mean of its divisors is an integer number (971100).

Almost surely, 223233000 is an apocalyptic number.

23233000 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 23233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31075200).

23233000 is an abundant number, since it is smaller than the sum of its proper divisors (38917400).

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

23233000 is a wasteful number, since it uses less digits than its factorization.

23233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 23233000 is about 4820.0622402620. The cubic root of 23233000 is about 285.3437935917.

Adding to 23233000 its reverse (33232), we get a palindrome (23266232).

The spelling of 23233000 in words is "twenty-three million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3319 3500 6638 7000 13276 16595 23233 26552 33190 46466 66380 82975 92932 116165 132760 165950 185864 232330 331900 414875 464660 580825 663800 829750 929320 1161650 1659500 2323300 2904125 3319000 4646600 5808250 11616500 23233000