Search a number
-
+
227305154331136 = 2971315717511129
BaseRepresentation
bin110011101011101110011010…
…111110101100001000000000
31002210211011100000202201102201
4303223232122332230020000
5214243131424002044021
62123234314001322544
765610153423535630
oct6353563276541000
91083734300681381
10227305154331136
1166476635872222
12215b1318336454
1399aaa26812acb
14401b8b19b26c0
151b42ade572591
hexcebb9afac200

227305154331136 has 320 divisors, whose sum is σ = 525087723663360. Its totient is φ = 96289689600000.

The previous prime is 227305154331113. The next prime is 227305154331139. The reversal of 227305154331136 is 631133451503722.

227305154331136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (227305154331139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201333174220 + ... + 201333175348.

It is an arithmetic number, because the mean of its divisors is an integer number (1640899136448).

Almost surely, 2227305154331136 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 227305154331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262543861831680).

227305154331136 is an abundant number, since it is smaller than the sum of its proper divisors (297782569332224).

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

227305154331136 is a wasteful number, since it uses less digits than its factorization.

227305154331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 227305154331136 in words is "two hundred twenty-seven trillion, three hundred five billion, one hundred fifty-four million, three hundred thirty-one thousand, one hundred thirty-six".