Search a number
-
+
230841358272 = 2634728310949
BaseRepresentation
bin1101011011111100110…
…1111001011111000000
3211001211201202000110000
43112333031321133000
512240230341431042
6254014055240000
722451315112300
oct3267715713700
9731751660400
10230841358272
1189998a24148
12388a4379000
13189caab7cb5
14b25c17d600
156010d9474c
hex35bf3797c0

230841358272 has 420 divisors, whose sum is σ = 805670296200. Its totient is φ = 65154087936.

The previous prime is 230841358247. The next prime is 230841358301. The reversal of 230841358272 is 272853148032.

230841358272 is a `hidden beast` number, since 2 + 308 + 41 + 35 + 8 + 272 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21077854 + ... + 21088802.

It is an arithmetic number, because the mean of its divisors is an integer number (1918262610).

Almost surely, 2230841358272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230841358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402835148100).

230841358272 is an abundant number, since it is smaller than the sum of its proper divisors (574828937928).

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

230841358272 is a wasteful number, since it uses less digits than its factorization.

230841358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 230841358272 in words is "two hundred thirty billion, eight hundred forty-one million, three hundred fifty-eight thousand, two hundred seventy-two".