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226486064 = 24717311689
BaseRepresentation
bin11010111111111…
…10011100110000
3120210011200110202
431133332130300
5430440023224
634250214332
75420046140
oct1537763460
9523150422
10226486064
11106933372
1263a243a8
1337bcba2c
1422118920
1514d3beae
hexd7fe730

226486064 has 40 divisors (see below), whose sum is σ = 504446880. Its totient is φ = 96496128.

The previous prime is 226486033. The next prime is 226486067. The reversal of 226486064 is 460684622.

It is not an unprimeable number, because it can be changed into a prime (226486067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13532 + ... + 25220.

It is an arithmetic number, because the mean of its divisors is an integer number (12611172).

Almost surely, 2226486064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252223440).

226486064 is an abundant number, since it is smaller than the sum of its proper divisors (277960816).

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

226486064 is a wasteful number, since it uses less digits than its factorization.

226486064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 226486064 is about 15049.4539435821. The cubic root of 226486064 is about 609.5563054956.

The spelling of 226486064 in words is "two hundred twenty-six million, four hundred eighty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 11689 19376 23378 46756 81823 93512 163646 187024 327292 654584 1309168 2022197 4044394 8088788 14155379 16177576 28310758 32355152 56621516 113243032 226486064