Search a number
-
+
229204401126240 = 253519131871905821
BaseRepresentation
bin110100000111010111001110…
…111010001111101101100000
31010001112201121210200110021110
4310013113032322033231200
5220020241103142014430
62131251014231423320
766164320505120601
oct6407271672175540
91101481553613243
10229204401126240
116703904a0a8a21
1221859422224b40
139ab7b614ba277
1440857a3377da8
151b771ec1337b0
hexd075cee8fb60

229204401126240 has 192 divisors, whose sum is σ = 760051571408640. Its totient is φ = 57899848366080.

The previous prime is 229204401126163. The next prime is 229204401126277. The reversal of 229204401126240 is 42621104402922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119312530 + ... + 121218350.

It is an arithmetic number, because the mean of its divisors is an integer number (3958601934420).

Almost surely, 2229204401126240 is an apocalyptic number.

229204401126240 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 229204401126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380025785704320).

229204401126240 is an abundant number, since it is smaller than the sum of its proper divisors (530847170282400).

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

229204401126240 is a wasteful number, since it uses less digits than its factorization.

229204401126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919045 (or 1919037 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 229204401126240 in words is "two hundred twenty-nine trillion, two hundred four billion, four hundred one million, one hundred twenty-six thousand, two hundred forty".