Search a number
-
+
226389130272 = 2532234532
BaseRepresentation
bin1101001011010111010…
…1111111110000100000
3210122100110002101210200
43102311311333300200
512202121104132042
6252000212425200
722233063566604
oct3226565776040
9718313071720
10226389130272
1188013842378
1237a61318200
131846b599766
14ad58b4b504
155d50090c4c
hex34b5d7fc20

226389130272 has 270 divisors, whose sum is σ = 685996155117. Its totient is φ = 70820116224.

The previous prime is 226389130267. The next prime is 226389130309. The reversal of 226389130272 is 272031983622.

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.

226389130272 is a `hidden beast` number, since 2 + 2 + 638 + 9 + 1 + 3 + 0 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214743267216 + 11645863056 = 463404^2 + 107916^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336444.

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, 4271492998 + ... + 4271493050.

Almost surely, 2226389130272 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 226389130272

226389130272 is an abundant number, since it is smaller than the sum of its proper divisors (459607024845).

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

226389130272 is an frugal number, since it uses more digits than its factorization.

226389130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 226389130272 in words is "two hundred twenty-six billion, three hundred eighty-nine million, one hundred thirty thousand, two hundred seventy-two".