Search a number
-
+
230599229812500 = 2235635918311871
BaseRepresentation
bin110100011011101010010001…
…001011011010111100010100
31010020111001220210221021220210
4310123222101023122330110
5220211114210313000000
62134235453531125420
766400146612253323
oct6433522113327424
91106431823837823
10230599229812500
11675266475796aa
1221a438135a3870
139b8954c913283
1440d30c2c4a0ba
151b9d63629c350
hexd1ba912daf14

230599229812500 has 336 divisors, whose sum is σ = 675174957649920. Its totient is φ = 61255590000000.

The previous prime is 230599229812499. The next prime is 230599229812529. The reversal of 230599229812500 is 5218922995032.

It is a happy number.

230599229812500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 123249186565 + ... + 123249188435.

It is an arithmetic number, because the mean of its divisors is an integer number (2009449278720).

Almost surely, 2230599229812500 is an apocalyptic number.

230599229812500 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 230599229812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337587478824960).

230599229812500 is an abundant number, since it is smaller than the sum of its proper divisors (444575727837420).

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

230599229812500 is a wasteful number, since it uses less digits than its factorization.

230599229812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 230599229812500 in words is "two hundred thirty trillion, five hundred ninety-nine billion, two hundred twenty-nine million, eight hundred twelve thousand, five hundred".