Search a number
-
+
229371131808 = 253471321931127
BaseRepresentation
bin1101010110011110010…
…1011011011110100000
3210221001021020202220000
43111213211123132200
512224223002204213
6253212135220000
722400013310620
oct3254745333640
9727037222800
10229371131808
118930402a255
1238553b17600
131882531b900
14b15cbca880
155e76c7bc73
hex356795b7a0

229371131808 has 1440 divisors, whose sum is σ = 914233098240. Its totient is φ = 55024220160.

The previous prime is 229371131797. The next prime is 229371131831. The reversal of 229371131808 is 808131173922.

It is a super-2 number, since 2×2293711318082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1806071841 + ... + 1806071967.

It is an arithmetic number, because the mean of its divisors is an integer number (634884096).

Almost surely, 2229371131808 is an apocalyptic number.

229371131808 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 229371131808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457116549120).

229371131808 is an abundant number, since it is smaller than the sum of its proper divisors (684861966432).

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

229371131808 is a wasteful number, since it uses less digits than its factorization.

229371131808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 229371131808 in words is "two hundred twenty-nine billion, three hundred seventy-one million, one hundred thirty-one thousand, eight hundred eight".