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23226335748 = 2232721121737173
BaseRepresentation
bin10101101000011001…
…011100001000000100
32012221200110002212100
4111220121130020010
5340031420220443
614400420552100
71451366411400
oct255031341004
965850402770
1023226335748
11993972a900
124602552630
132261c37645
1411a49a8100
1590e11c3d3
hex56865c204

23226335748 has 648 divisors, whose sum is σ = 82105686936. Its totient is φ = 5492551680.

The previous prime is 23226335729. The next prime is 23226335761. The reversal of 23226335748 is 84753362232.

23226335748 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 633 + 5 + 7 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16614694404 + 6611641344 = 128898^2 + 81312^2 .

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 134256190 + ... + 134256362.

It is an arithmetic number, because the mean of its divisors is an integer number (126706307).

Almost surely, 223226335748 is an apocalyptic number.

23226335748 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 23226335748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41052843468).

23226335748 is an abundant number, since it is smaller than the sum of its proper divisors (58879351188).

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

23226335748 is a wasteful number, since it uses less digits than its factorization.

23226335748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 23226335748 in words is "twenty-three billion, two hundred twenty-six million, three hundred thirty-five thousand, seven hundred forty-eight".