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226591041672 = 2332560992
BaseRepresentation
bin1101001100000111100…
…0001110100010001000
3210122212112000120011200
43103001320032202020
512203024301313142
6252032224224200
722241065034562
oct3230170164210
9718775016150
10226591041672
11881078103a6
1237ab8a6b060
13184a1372a68
14ad778aa332
155d62b7664c
hex34c1e0e888

226591041672 has 36 divisors (see below), whose sum is σ = 613695010695. Its totient is φ = 75529000848.

The previous prime is 226591041661. The next prime is 226591041673. The reversal of 226591041672 is 276140195622.

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.

226591041672 is a `hidden beast` number, since 22 + 65 + 91 + 0 + 416 + 72 = 666.

226591041672 is digitally balanced in base 3, 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 only one way, i.e., 113295520836 + 113295520836 = 336594^2 + 336594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336594.

It is not an unprimeable number, because it can be changed into a prime (226591041673) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4011079 + ... + 4067177.

Almost surely, 2226591041672 is an apocalyptic number.

It is an amenable number.

226591041672 is an abundant number, since it is smaller than the sum of its proper divisors (387103969023).

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

226591041672 is an frugal number, since it uses more digits than its factorization.

226591041672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112210 (or 56104 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 226591041672 in words is "two hundred twenty-six billion, five hundred ninety-one million, forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56099 112198 168297 224396 336594 448792 504891 673188 1009782 1346376 2019564 4039128 3147097801 6294195602 9441293403 12588391204 18882586806 25176782408 28323880209 37765173612 56647760418 75530347224 113295520836 226591041672