Search a number
-
+
230087682 = 233111922937
BaseRepresentation
bin11011011011011…
…01110000000010
3121000221122222000
431231231300002
5432400301212
634455324430
75462466366
oct1555556002
9530848860
10230087682
11108973310
1265080716
1338890176
14227b52a6
15152ee1dc
hexdb6dc02

230087682 has 192 divisors, whose sum is σ = 625449600. Its totient is φ = 62052480.

The previous prime is 230087677. The next prime is 230087687. The reversal of 230087682 is 286780032.

It is a happy number.

230087682 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 (230087677) and next prime (230087687).

It is not an unprimeable number, because it can be changed into a prime (230087687) 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, 6218568 + ... + 6218604.

It is an arithmetic number, because the mean of its divisors is an integer number (3257550).

Almost surely, 2230087682 is an apocalyptic number.

230087682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230087682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312724800).

230087682 is an abundant number, since it is smaller than the sum of its proper divisors (395361918).

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

230087682 is a wasteful number, since it uses less digits than its factorization.

230087682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 230087682 is about 15168.6414025779. The cubic root of 230087682 is about 612.7704157611.

The spelling of 230087682 in words is "two hundred thirty million, eighty-seven thousand, six hundred eighty-two".