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226918327860 = 2232573137157013
BaseRepresentation
bin1101001101010101100…
…0101110011000110100
3210200201022212102102100
43103111120232120310
512204212042442420
6252124515142100
722252150650660
oct3232530563064
9720638772370
10226918327860
1188265531354
1237b8a5a4930
1318524105523
14ada91438a0
155d81775190
hex34d562e634

226918327860 has 288 divisors, whose sum is σ = 833977976832. Its totient is φ = 48837012480.

The previous prime is 226918327847. The next prime is 226918327879. The reversal of 226918327860 is 68723819622.

226918327860 is a `hidden beast` number, since 226 + 9 + 18 + 327 + 86 + 0 = 666.

226918327860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 226918327797 and 226918327806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366714 + ... + 1523726.

It is an arithmetic number, because the mean of its divisors is an integer number (2895756864).

Almost surely, 2226918327860 is an apocalyptic number.

226918327860 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 226918327860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416988988416).

226918327860 is an abundant number, since it is smaller than the sum of its proper divisors (607059648972).

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

226918327860 is a wasteful number, since it uses less digits than its factorization.

226918327860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157103 (or 157098 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 226918327860 in words is "two hundred twenty-six billion, nine hundred eighteen million, three hundred twenty-seven thousand, eight hundred sixty".