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230031360 = 21733513
BaseRepresentation
bin11011011011000…
…00000000000000
3121000211210201000
431231200000000
5432342000420
634454212000
75462143236
oct1555400000
9530753630
10230031360
11108934a69
1265054000
1338870640
142279c956
15152dc690
hexdb60000

230031360 has 288 divisors, whose sum is σ = 880800480. Its totient is φ = 56623104.

The previous prime is 230031343. The next prime is 230031379. The reversal of 230031360 is 63130032.

It is a happy number.

230031360 is a `hidden beast` number, since 2 + 300 + 3 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694714 + ... + 17694726.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2230031360 is an apocalyptic number.

230031360 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 230031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440400240).

230031360 is an abundant number, since it is smaller than the sum of its proper divisors (650769120).

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

230031360 is an frugal number, since it uses more digits than its factorization.

230031360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 230031360 is about 15166.7847614450. The cubic root of 230031360 is about 612.7204126906.

Adding to 230031360 its reverse (63130032), we get a palindrome (293161392).

The spelling of 230031360 in words is "two hundred thirty million, thirty-one thousand, three hundred sixty".