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226743255936 = 2734231277487
BaseRepresentation
bin1101001100101011110…
…0111000001110000000
3210200021010102211220000
43103022330320032000
512203332233142221
6252055302520000
722244623606131
oct3231274701600
9720233384800
10226743255936
118818572520a
1237b3ba36000
13184c6a68782
14ad8dbadc88
155d711e1e26
hex34caf38380

226743255936 has 320 divisors, whose sum is σ = 709761761280. Its totient is φ = 71716119552.

The previous prime is 226743255901. The next prime is 226743255971. The reversal of 226743255936 is 639552347622.

226743255936 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 43 + 2 + 5 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (226743255901) and next prime (226743255971).

It is a super-2 number, since 2×2267432559362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30281185 + ... + 30288671.

It is an arithmetic number, because the mean of its divisors is an integer number (2218005504).

Almost surely, 2226743255936 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 226743255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354880880640).

226743255936 is an abundant number, since it is smaller than the sum of its proper divisors (483018505344).

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

226743255936 is a wasteful number, since it uses less digits than its factorization.

226743255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7642 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 226743255936 in words is "two hundred twenty-six billion, seven hundred forty-three million, two hundred fifty-five thousand, nine hundred thirty-six".