Search a number
-
+
228671414417 = 5373389151937
BaseRepresentation
bin1101010011110111100…
…0001110000010010001
3210212020111121110002002
43110331320032002101
512221304340230132
6253014502003345
722343455644335
oct3247570160221
9725214543062
10228671414417
1188a85063216
1238399716555
131874337b054
14b0d3cc77c5
155e35613262
hex353de0e091

228671414417 has 16 divisors (see below), whose sum is σ = 236786256720. Its totient is φ = 220713172992.

The previous prime is 228671414399. The next prime is 228671414431. The reversal of 228671414417 is 714414176822.

It is a Cunningham number, because it is equal to 4781962+1.

It can be written as a sum of positive squares in 8 ways, for example, as 9955250176 + 218716164241 = 99776^2 + 467671^2 .

It is a cyclic number.

It is not a de Polignac number, because 228671414417 - 232 = 224376447121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228671414717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429073 + ... + 1581009.

It is an arithmetic number, because the mean of its divisors is an integer number (14799141045).

Almost surely, 2228671414417 is an apocalyptic number.

It is an amenable number.

228671414417 is a deficient number, since it is larger than the sum of its proper divisors (8114842303).

228671414417 is a wasteful number, since it uses less digits than its factorization.

228671414417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152452.

The product of its digits is 602112, while the sum is 47.

The spelling of 228671414417 in words is "two hundred twenty-eight billion, six hundred seventy-one million, four hundred fourteen thousand, four hundred seventeen".

Divisors: 1 53 73 389 3869 20617 28397 151937 1505041 8052661 11091401 59103493 587844253 3132485129 4314554989 228671414417