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226400705146 = 272111771191911
BaseRepresentation
bin1101001011011010001…
…0001001101001111010
3210122101020212110112201
43102312202021221322
512202132040031041
6252001304500414
722233264145600
oct3226642115172
9718336773481
10226400705146
118801a328790
1237a6517a70a
1318470ac00b5
14ad5a4c1870
155d510ca631
hex34b6889a7a

226400705146 has 192 divisors, whose sum is σ = 465670176768. Its totient is φ = 81332160000.

The previous prime is 226400705107. The next prime is 226400705171. The reversal of 226400705146 is 641507004622.

226400705146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 248518431 + ... + 248519341.

It is an arithmetic number, because the mean of its divisors is an integer number (2425365504).

Almost surely, 2226400705146 is an apocalyptic number.

226400705146 is an abundant number, since it is smaller than the sum of its proper divisors (239269471622).

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

226400705146 is a wasteful number, since it uses less digits than its factorization.

226400705146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

Adding to 226400705146 its reverse (641507004622), we get a palindrome (867907709768).

The spelling of 226400705146 in words is "two hundred twenty-six billion, four hundred million, seven hundred five thousand, one hundred forty-six".