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226516247620 = 22513871216337
BaseRepresentation
bin1101001011110101101…
…0111010010001000100
3210122200022021122000121
43102331122322101010
512202401124410440
6252020553151324
722236166223245
oct3227532722104
9718608248017
10226516247620
1188079575533
1237a979bb544
131848ba16120
14ad6b99accc
155d5b30034a
hex34bd6ba444

226516247620 has 24 divisors (see below), whose sum is σ = 512275206744. Its totient is φ = 83636768256.

The previous prime is 226516247609. The next prime is 226516247641. The reversal of 226516247620 is 26742615622.

226516247620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45311082496 + 181205165124 = 212864^2 + 425682^2 .

It is a super-2 number, since 2×2265162476202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 435607909 + ... + 435608428.

It is an arithmetic number, because the mean of its divisors is an integer number (21344800281).

Almost surely, 2226516247620 is an apocalyptic number.

226516247620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226516247620 is an abundant number, since it is smaller than the sum of its proper divisors (285758959124).

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

226516247620 is a wasteful number, since it uses less digits than its factorization.

226516247620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871216359 (or 871216357 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 226516247620 in words is "two hundred twenty-six billion, five hundred sixteen million, two hundred forty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 871216337 1742432674 3484865348 4356081685 8712163370 11325812381 17424326740 22651624762 45303249524 56629061905 113258123810 226516247620