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23132500 = 225419487
BaseRepresentation
bin101100000111…
…1100101010100
31121112020211021
41120033211110
521410220000
62143450524
7400423456
oct130174524
947466737
1023132500
111206a876
1278b6a44
134a3c191
1431022d6
15206e11a
hex160f954

23132500 has 60 divisors (see below), whose sum is σ = 53357920. Its totient is φ = 8748000.

The previous prime is 23132497. The next prime is 23132509. The reversal of 23132500 is 523132.

It is a super-2 number, since 2×231325002 = 1070225112500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47257 + ... + 47743.

Almost surely, 223132500 is an apocalyptic number.

23132500 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 23132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26678960).

23132500 is an abundant number, since it is smaller than the sum of its proper divisors (30225420).

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

23132500 is a wasteful number, since it uses less digits than its factorization.

23132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23132500 is about 4809.6257650674. The cubic root of 23132500 is about 284.9317575400.

Adding to 23132500 its reverse (523132), we get a palindrome (23655632).

It can be divided in two parts, 23132 and 500, that added together give a palindrome (23632).

The spelling of 23132500 in words is "twenty-three million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 487 500 625 950 974 1250 1900 1948 2375 2435 2500 4750 4870 9253 9500 9740 11875 12175 18506 23750 24350 37012 46265 47500 48700 60875 92530 121750 185060 231325 243500 304375 462650 608750 925300 1156625 1217500 2313250 4626500 5783125 11566250 23132500