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230223312 = 243211273181
BaseRepresentation
bin11011011100011…
…10110111010000
3121001012120000100
431232032313100
5432414121222
634502252400
75463602664
oct1556166720
9531176010
10230223312
11108a56200
1265127100
1338909b17
142280c8a4
15153294ac
hexdb8edd0

230223312 has 180 divisors, whose sum is σ = 721871332. Its totient is φ = 68428800.

The previous prime is 230223311. The next prime is 230223313. The reversal of 230223312 is 213322032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230223311) and next prime (230223313).

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 181279296 = 6996^2 + 13464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230223311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1271862 + ... + 1272042.

Almost surely, 2230223312 is an apocalyptic number.

230223312 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 230223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360935666).

230223312 is an abundant number, since it is smaller than the sum of its proper divisors (491648020).

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

230223312 is a wasteful number, since it uses less digits than its factorization.

230223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230223312 is about 15173.1114805105. Note that the first 3 decimals coincide. The cubic root of 230223312 is about 612.8907955598.

Adding to 230223312 its reverse (213322032), we get a palindrome (443545344).

The spelling of 230223312 in words is "two hundred thirty million, two hundred twenty-three thousand, three hundred twelve".