Search a number
-
+
230398087392 = 25341112896269
BaseRepresentation
bin1101011010010011001…
…0111101000011100000
3211000200211122112010000
43112210302331003200
512233323402244032
6253502102340000
722434323300334
oct3264462750340
9730624575100
10230398087392
1189790794180
123879ba2a600
131895a006135
14b2193537c4
155ed6ed4e7c
hex35a4cbd0e0

230398087392 has 240 divisors, whose sum is σ = 739885330800. Its totient is φ = 69752309760.

The previous prime is 230398087343. The next prime is 230398087397. The reversal of 230398087392 is 293780893032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230398087397) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36748834 + ... + 36755102.

It is an arithmetic number, because the mean of its divisors is an integer number (3082855545).

Almost surely, 2230398087392 is an apocalyptic number.

230398087392 is a gapful number since it is divisible by the number (22) 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 230398087392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369942665400).

230398087392 is an abundant number, since it is smaller than the sum of its proper divisors (509487243408).

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

230398087392 is a wasteful number, since it uses less digits than its factorization.

230398087392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7574 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 230398087392 in words is "two hundred thirty billion, three hundred ninety-eight million, eighty-seven thousand, three hundred ninety-two".