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226628741768 = 231141321072
BaseRepresentation
bin1101001100010000100…
…0000010101010001000
3210122222010221220222112
43103010020002222020
512203113424214033
6252040052241452
722242033343442
oct3230410025210
9718863856875
10226628741768
1188127020000
1237b09610288
13184a9112800
14ad7c8c1492
155d66121c48
hex34c4202a88

226628741768 has 180 divisors, whose sum is σ = 510914456325. Its totient is φ = 94200300480.

The previous prime is 226628741749. The next prime is 226628741809. The reversal of 226628741768 is 867147826622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 193774279204 + 32854462564 = 440198^2 + 181258^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336622.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2118025571 + ... + 2118025677.

Almost surely, 2226628741768 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 226628741768

226628741768 is an abundant number, since it is smaller than the sum of its proper divisors (284285714557).

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

226628741768 is an equidigital number, since it uses as much as digits as its factorization.

226628741768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 133 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 59.

The spelling of 226628741768 in words is "two hundred twenty-six billion, six hundred twenty-eight million, seven hundred forty-one thousand, seven hundred sixty-eight".