Search a number
-
+
228617130960 = 243253173193727
BaseRepresentation
bin1101010011101010100…
…1001001001111010000
3210212002201110120011200
43110322221021033100
512221201441142320
6253005242311200
722342226356461
oct3247251111720
9725081416150
10228617130960
1188a57457259
12383834b8500
131873505306a
14b0ca9d6d68
155e3098e290
hex353aa493d0

228617130960 has 480 divisors, whose sum is σ = 808669575168. Its totient is φ = 57808650240.

The previous prime is 228617130943. The next prime is 228617130967. The reversal of 228617130960 is 69031716822.

228617130960 is a `hidden beast` number, since 2 + 28 + 617 + 1 + 3 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228617130967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314466117 + ... + 314466843.

Almost surely, 2228617130960 is an apocalyptic number.

228617130960 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 228617130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404334787584).

228617130960 is an abundant number, since it is smaller than the sum of its proper divisors (580052444208).

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

228617130960 is a wasteful number, since it uses less digits than its factorization.

228617130960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 228617130960 in words is "two hundred twenty-eight billion, six hundred seventeen million, one hundred thirty thousand, nine hundred sixty".