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23224000 = 26532903
BaseRepresentation
bin101100010010…
…1111011000000
31121200220100011
41120211323000
521421132000
62145434304
7401254312
oct130457300
947626304
1023224000
1112122598
12793b994
134a71a17
1431277b2
15208b2ba
hex1625ec0

23224000 has 56 divisors (see below), whose sum is σ = 57534048. Its totient is φ = 9286400.

The previous prime is 23223973. The next prime is 23224027. The reversal of 23224000 is 42232.

It is an interprime number because it is at equal distance from previous prime (23223973) and next prime (23224027).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6549 + ... + 9451.

Almost surely, 223224000 is an apocalyptic number.

23224000 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 23224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28767024).

23224000 is an abundant number, since it is smaller than the sum of its proper divisors (34310048).

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

23224000 is an equidigital number, since it uses as much as digits as its factorization.

23224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 23224000 is about 4819.1285519272. The cubic root of 23224000 is about 285.3069433382.

Adding to 23224000 its reverse (42232), we get a palindrome (23266232).

The spelling of 23224000 in words is "twenty-three million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2903 4000 5806 8000 11612 14515 23224 29030 46448 58060 72575 92896 116120 145150 185792 232240 290300 362875 464480 580600 725750 928960 1161200 1451500 2322400 2903000 4644800 5806000 11612000 23224000