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230761740 = 22351117131157
BaseRepresentation
bin11011100000100…
…10010100001100
3121002012220121010
431300102110030
5433033333430
634522005220
75501304516
oct1560222414
9532186533
10230761740
11109293790
1265346810
1338a67c11
142290cbb6
15153d3cb0
hexdc1250c

230761740 has 192 divisors, whose sum is σ = 756822528. Its totient is φ = 51916800.

The previous prime is 230761733. The next prime is 230761747. The reversal of 230761740 is 47167032.

230761740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230761733) and next prime (230761747).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230761698 and 230761707.

It is not an unprimeable number, because it can be changed into a prime (230761747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469742 + ... + 1469898.

It is an arithmetic number, because the mean of its divisors is an integer number (3941784).

Almost surely, 2230761740 is an apocalyptic number.

230761740 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 230761740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378411264).

230761740 is an abundant number, since it is smaller than the sum of its proper divisors (526060788).

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

230761740 is a wasteful number, since it uses less digits than its factorization.

230761740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 230761740 is about 15190.8439528553. The cubic root of 230761740 is about 613.3682170088.

The spelling of 230761740 in words is "two hundred thirty million, seven hundred sixty-one thousand, seven hundred forty".