Search a number
-
+
227904768 = 28327131087
BaseRepresentation
bin11011001010110…
…00110100000000
3120212211202120100
431211120310000
5431320423033
634340442400
75435105250
oct1545306400
9525752510
10227904768
11107712253
12643a9400
13382a76c0
14223a7960
151501c513
hexd958d00

227904768 has 216 divisors, whose sum is σ = 809489408. Its totient is φ = 60051456.

The previous prime is 227904763. The next prime is 227904779. The reversal of 227904768 is 867409722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227904763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209121 + ... + 210207.

Almost surely, 2227904768 is an apocalyptic number.

227904768 is a gapful number since it is divisible by the number (28) 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 227904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404744704).

227904768 is an abundant number, since it is smaller than the sum of its proper divisors (581584640).

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

227904768 is a wasteful number, since it uses less digits than its factorization.

227904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 227904768 is about 15096.5150945508. The cubic root of 227904768 is about 610.8264065584.

The spelling of 227904768 in words is "two hundred twenty-seven million, nine hundred four thousand, seven hundred sixty-eight".