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23252000 = 25535813
BaseRepresentation
bin101100010110…
…0110000100000
31121202022202012
41120230300200
521423031000
62150212052
7401432042
oct130546040
947668665
1023252000
1112141632
127954028
134a816a5
143133a92
152094735
hex162cc20

23252000 has 48 divisors (see below), whose sum is σ = 57139992. Its totient is φ = 9299200.

The previous prime is 23251993. The next prime is 23252027. The reversal of 23252000 is 25232.

It can be written as a sum of positive squares in 4 ways, for example, as 9024016 + 14227984 = 3004^2 + 3772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094 + ... + 6906.

Almost surely, 223252000 is an apocalyptic number.

23252000 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 23252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569996).

23252000 is an abundant number, since it is smaller than the sum of its proper divisors (33887992).

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

23252000 is an equidigital number, since it uses as much as digits as its factorization.

23252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 23252000 is about 4822.0327663756. The cubic root of 23252000 is about 285.4215573306.

Adding to 23252000 its reverse (25232), we get a palindrome (23277232).

The spelling of 23252000 in words is "twenty-three million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5813 11626 23252 29065 46504 58130 93008 116260 145325 186016 232520 290650 465040 581300 726625 930080 1162600 1453250 2325200 2906500 4650400 5813000 11626000 23252000