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230101344 = 25331123171
BaseRepresentation
bin11011011011100…
…01000101100000
3121000222100201000
431231301011200
5432401220334
634455512000
75462554254
oct1555610540
9530870630
10230101344
11108982600
1265088600
1338896455
14227ba264
1515303299
hexdb71160

230101344 has 288 divisors, whose sum is σ = 772208640. Its totient is φ = 66528000.

The previous prime is 230101337. The next prime is 230101349. The reversal of 230101344 is 443101032.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (230101349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3240829 + ... + 3240899.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2230101344 is an apocalyptic number.

230101344 is a gapful number since it is divisible by the number (24) 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 230101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

230101344 is an abundant number, since it is smaller than the sum of its proper divisors (542107296).

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

230101344 is a wasteful number, since it uses less digits than its factorization.

230101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230101344 is about 15169.0917328626. The cubic root of 230101344 is about 612.7825437517.

Adding to 230101344 its reverse (443101032), we get a palindrome (673202376).

The spelling of 230101344 in words is "two hundred thirty million, one hundred one thousand, three hundred forty-four".