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230625000000 = 263251041
BaseRepresentation
bin1101011011001001010…
…0100011101001000000
3211001021122121212200200
43112302110203221000
512234310000000000
6253540410045200
722443050104203
oct3266224435100
9731248555620
10230625000000
1189897888a5a
1238843a19800
1318995024055
14b23b53d93a
155eebda8500
hex35b2523a40

230625000000 has 462 divisors, whose sum is σ = 846459943602. Its totient is φ = 60000000000.

The previous prime is 230624999989. The next prime is 230625000017. The reversal of 230625000000 is 526032.

It can be written as a sum of positive squares in 11 ways, for example, as 73276324416 + 157348675584 = 270696^2 + 396672^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10250 × 2250 × 10000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 5624999980 + ... + 5625000020.

Almost surely, 2230625000000 is an apocalyptic number.

230625000000 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 230625000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423229971801).

230625000000 is an abundant number, since it is smaller than the sum of its proper divisors (615834943602).

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

230625000000 is an frugal number, since it uses more digits than its factorization.

230625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 230625000000 its reverse (526032), we get a palindrome (230625526032).

The spelling of 230625000000 in words is "two hundred thirty billion, six hundred twenty-five million", and thus it is an aban number.