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226552543360 = 275111331471699
BaseRepresentation
bin1101001011111110010…
…1010111100010000000
3210122202211120122102021
43102333211113202000
512202434422341420
6252024331131224
722240116562603
oct3227745274200
9718684518367
10226552543360
1188098006010
1237aa7ba3b14
13184963b38b0
14ad7272833a
155d5e5be7aa
hex34bf957880

226552543360 has 512 divisors, whose sum is σ = 671182848000. Its totient is φ = 71984332800.

The previous prime is 226552543339. The next prime is 226552543361. The reversal of 226552543360 is 63345255622.

It is a happy number.

226552543360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226552543361) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 133343791 + ... + 133345489.

It is an arithmetic number, because the mean of its divisors is an integer number (1310904000).

Almost surely, 2226552543360 is an apocalyptic number.

226552543360 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 226552543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335591424000).

226552543360 is an abundant number, since it is smaller than the sum of its proper divisors (444630304640).

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

226552543360 is a wasteful number, since it uses less digits than its factorization.

226552543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 43.

Adding to 226552543360 its reverse (63345255622), we get a palindrome (289897798982).

The spelling of 226552543360 in words is "two hundred twenty-six billion, five hundred fifty-two million, five hundred forty-three thousand, three hundred sixty".