Search a number
-
+
230010000 = 24354111741
BaseRepresentation
bin11011011010110…
…10110010010000
3121000210201101220
431231122302100
5432340310000
634453525040
75462024043
oct1555326220
9530721356
10230010000
1110891aa10
1265043780
13388639bc
1422794c5a
15152d61a0
hexdb5ac90

230010000 has 400 divisors, whose sum is σ = 878568768. Its totient is φ = 51200000.

The previous prime is 230009993. The next prime is 230010013. The reversal of 230010000 is 10032.

230010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5609980 + ... + 5610020.

Almost surely, 2230010000 is an apocalyptic number.

230010000 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 230010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439284384).

230010000 is an abundant number, since it is smaller than the sum of its proper divisors (648558768).

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

230010000 is a wasteful number, since it uses less digits than its factorization.

230010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 230010000 is about 15166.0805747563. The cubic root of 230010000 is about 612.7014469966.

Adding to 230010000 its reverse (10032), we get a palindrome (230020032).

The spelling of 230010000 in words is "two hundred thirty million, ten thousand".