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230399398080 = 263351031991301
BaseRepresentation
bin1101011010010011011…
…1111101000011000000
3211000200221010010001000
43112210313331003000
512233324221214310
6253502150412000
722434340366515
oct3264467750300
9730627103030
10230399398080
11897914a9995
12387a0361000
131895a3748a7
14b2195b530c
155ed71934c0
hex35a4dfd0c0

230399398080 has 448 divisors, whose sum is σ = 825447168000. Its totient is φ = 60491059200.

The previous prime is 230399398079. The next prime is 230399398081. The reversal of 230399398080 is 80893993032.

230399398080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230399398079) and next prime (230399398081).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230399398081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177093430 + ... + 177094730.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516000).

Almost surely, 2230399398080 is an apocalyptic number.

230399398080 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 230399398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412723584000).

230399398080 is an abundant number, since it is smaller than the sum of its proper divisors (595047769920).

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

230399398080 is a wasteful number, since it uses less digits than its factorization.

230399398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 230399398080 in words is "two hundred thirty billion, three hundred ninety-nine million, three hundred ninety-eight thousand, eighty".