Search a number
-
+
227120163840 = 210355182549
BaseRepresentation
bin1101001110000101101…
…0101010110000000000
3210201020101122202100000
43103201122222300000
512210120230220330
6252200525200000
722260151353033
oct3234132526000
9721211582300
10227120163840
1188359458749
1238026100000
1318556b833bb
14adc7c8301a
155d94343560
hex34e16aac00

227120163840 has 264 divisors, whose sum is σ = 816116792400. Its totient is φ = 60565045248.

The previous prime is 227120163821. The next prime is 227120163887. The reversal of 227120163840 is 48361021722.

It is a happy number.

227120163840 is a `hidden beast` number, since 2 + 2 + 7 + 12 + 0 + 1 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×2271201638403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 227120163795 and 227120163804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152886 + ... + 1335434.

Almost surely, 2227120163840 is an apocalyptic number.

227120163840 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 227120163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408058396200).

227120163840 is an abundant number, since it is smaller than the sum of its proper divisors (588996628560).

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

227120163840 is an equidigital number, since it uses as much as digits as its factorization.

227120163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182589 (or 182559 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 227120163840 in words is "two hundred twenty-seven billion, one hundred twenty million, one hundred sixty-three thousand, eight hundred forty".