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23125000 = 235737
BaseRepresentation
bin101100000110…
…1110000001000
31121111212112111
41120031300020
521410000000
62143352104
7400362553
oct130156010
947455474
1023125000
1112065178
1278b2634
134a38942
1430dd69a
15206bcba
hex160dc08

23125000 has 64 divisors (see below), whose sum is σ = 55663920. Its totient is φ = 9000000.

The previous prime is 23124989. The next prime is 23125007. The reversal of 23125000 is 52132.

Adding to 23125000 its reverse (52132), we get a palindrome (23177132).

It can be divided in two parts, 2312 and 5000, that multiplied together give a square (11560000 = 34002).

23125000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 17489124 + 5635876 = 4182^2 + 2374^2 .

It is not an unprimeable number, because it can be changed into a prime (23125007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624982 + ... + 625018.

Almost surely, 223125000 is an apocalyptic number.

23125000 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 23125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831960).

23125000 is an abundant number, since it is smaller than the sum of its proper divisors (32538920).

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

23125000 is an frugal number, since it uses more digits than its factorization.

23125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 23125000 is about 4808.8460154178. The cubic root of 23125000 is about 284.9009607653.

The spelling of 23125000 in words is "twenty-three million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 625 740 925 1000 1250 1480 1850 2500 3125 3700 4625 5000 6250 7400 9250 12500 15625 18500 23125 25000 31250 37000 46250 62500 78125 92500 115625 125000 156250 185000 231250 312500 462500 578125 625000 925000 1156250 2312500 2890625 4625000 5781250 11562500 23125000