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230739300 = 2233521117457
BaseRepresentation
bin11011100000011…
…00110101100100
3121002011202211000
431300030311210
5433032124200
634521313300
75501152221
oct1560146544
9532152730
10230739300
11109278940
1265335830
1338a5a93c
1422904948
15153cc300
hexdc0cd64

230739300 has 288 divisors, whose sum is σ = 858695040. Its totient is φ = 52531200.

The previous prime is 230739241. The next prime is 230739307. The reversal of 230739300 is 3937032.

It is a super-3 number, since 3×2307393003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230739307) 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 95 ways as a sum of consecutive naturals, for example, 504672 + ... + 505128.

It is an arithmetic number, because the mean of its divisors is an integer number (2981580).

Almost surely, 2230739300 is an apocalyptic number.

230739300 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 230739300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429347520).

230739300 is an abundant number, since it is smaller than the sum of its proper divisors (627955740).

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

230739300 is a wasteful number, since it uses less digits than its factorization.

230739300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 230739300 is about 15190.1053320904. The cubic root of 230739300 is about 613.3483344105.

The spelling of 230739300 in words is "two hundred thirty million, seven hundred thirty-nine thousand, three hundred".