Search a number
-
+
229847113728 = 213351959103
BaseRepresentation
bin1101011000001111110…
…1001010000000000000
3210222021102220011100000
43112003331022000000
512231211330114403
6253331301200000
722414553142201
oct3260375120000
9728242804300
10229847113728
1189528781541
1238667400000
131889cb1470b
14b1a60cd5a8
155ea394d7a3
hex3583f4a000

229847113728 has 672 divisors, whose sum is σ = 744233817600. Its totient is φ = 70660325376.

The previous prime is 229847113703. The next prime is 229847113729. The reversal of 229847113728 is 827311748922.

229847113728 is a `hidden beast` number, since 2 + 2 + 98 + 471 + 13 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (229847113729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231525325 + ... + 2231525427.

It is an arithmetic number, because the mean of its divisors is an integer number (1107490800).

Almost surely, 2229847113728 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 229847113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372116908800).

229847113728 is an abundant number, since it is smaller than the sum of its proper divisors (514386703872).

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

229847113728 is an equidigital number, since it uses as much as digits as its factorization.

229847113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 229847113728 in words is "two hundred twenty-nine billion, eight hundred forty-seven million, one hundred thirteen thousand, seven hundred twenty-eight".