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230732540640 = 25325729773347
BaseRepresentation
bin1101011011100010111…
…0110010101011100000
3211001120010222111201100
43112320232302223200
512240020012300030
6253555211034400
722445524143600
oct3267056625340
9731503874640
10230732540640
118994255a918
1238873a3ba00
13189b13a7b74
14b24b934c00
15600654c360
hex35b8bb2ae0

230732540640 has 432 divisors, whose sum is σ = 917137205712. Its totient is φ = 52669145088.

The previous prime is 230732540627. The next prime is 230732540641. The reversal of 230732540640 is 46045237032.

230732540640 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 3 + 2 + 5 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230732540595 and 230732540604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230732540641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68935447 + ... + 68938793.

It is an arithmetic number, because the mean of its divisors is an integer number (2123002791).

Almost surely, 2230732540640 is an apocalyptic number.

230732540640 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 230732540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458568602856).

230732540640 is an abundant number, since it is smaller than the sum of its proper divisors (686404665072).

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

230732540640 is a wasteful number, since it uses less digits than its factorization.

230732540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 230732540640 its reverse (46045237032), we get a palindrome (276777777672).

The spelling of 230732540640 in words is "two hundred thirty billion, seven hundred thirty-two million, five hundred forty thousand, six hundred forty".