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226241064 = 233272329673
BaseRepresentation
bin11010111110000…
…10101000101000
3120202201020101200
431133002220220
5430404203224
634241044200
75415005640
oct1537025050
9522636350
10226241064
11106786295
1263926660
1337b4436a
1422093520
1514cde5c9
hexd7c2a28

226241064 has 192 divisors, whose sum is σ = 757036800. Its totient is φ = 59609088.

The previous prime is 226241063. The next prime is 226241077. The reversal of 226241064 is 460142622.

226241064 is a `hidden beast` number, since 22 + 624 + 10 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226241063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335832 + ... + 336504.

It is an arithmetic number, because the mean of its divisors is an integer number (3942900).

Almost surely, 2226241064 is an apocalyptic number.

226241064 is a gapful number since it is divisible by the number (24) 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 226241064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378518400).

226241064 is an abundant number, since it is smaller than the sum of its proper divisors (530795736).

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

226241064 is a wasteful number, since it uses less digits than its factorization.

226241064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226241064 is about 15041.3119108673. The cubic root of 226241064 is about 609.3364315156.

Adding to 226241064 its reverse (460142622), we get a palindrome (686383686).

The spelling of 226241064 in words is "two hundred twenty-six million, two hundred forty-one thousand, sixty-four".