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230011320 = 233571123173
BaseRepresentation
bin11011011010110…
…11000110111000
3121000210210012210
431231123012320
5432340330240
634453535120
75462030640
oct1555330670
9530723183
10230011320
11108920a00
12650444a0
1338864496
1422795520
15152d6780
hexdb5b1b8

230011320 has 384 divisors, whose sum is σ = 907038720. Its totient is φ = 45619200.

The previous prime is 230011319. The next prime is 230011349. The reversal of 230011320 is 23110032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230011296 and 230011305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3150804 + ... + 3150876.

It is an arithmetic number, because the mean of its divisors is an integer number (2362080).

Almost surely, 2230011320 is an apocalyptic number.

230011320 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 230011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453519360).

230011320 is an abundant number, since it is smaller than the sum of its proper divisors (677027400).

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

230011320 is a wasteful number, since it uses less digits than its factorization.

230011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230011320 is about 15166.1240928591. The cubic root of 230011320 is about 612.7026190679.

Adding to 230011320 its reverse (23110032), we get a palindrome (253121352).

The spelling of 230011320 in words is "two hundred thirty million, eleven thousand, three hundred twenty".