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230250350880 = 2532511195912967
BaseRepresentation
bin1101011001101111111…
…1011000100100100000
3211000022112122201201100
43112123333120210200
512233023042212010
6253435304034400
722430550455544
oct3263377304440
9730275581640
10230250350880
1189715358590
123875a462a00
131893551a594
14b203897a24
155ec90512c0
hex359bfd8920

230250350880 has 576 divisors, whose sum is σ = 917636428800. Its totient is φ = 51980175360.

The previous prime is 230250350857. The next prime is 230250350887. The reversal of 230250350880 is 88053052032.

230250350880 is a `hidden beast` number, since 23 + 0 + 2 + 50 + 3 + 508 + 80 = 666.

230250350880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230250350887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17750157 + ... + 17763123.

It is an arithmetic number, because the mean of its divisors is an integer number (1593118800).

Almost surely, 2230250350880 is an apocalyptic number.

230250350880 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 230250350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458818214400).

230250350880 is an abundant number, since it is smaller than the sum of its proper divisors (687386077920).

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

230250350880 is a wasteful number, since it uses less digits than its factorization.

230250350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13077 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 230250350880 in words is "two hundred thirty billion, two hundred fifty million, three hundred fifty thousand, eight hundred eighty".