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229073043456 = 214322953569
BaseRepresentation
bin1101010101010111010…
…0010100000000000000
3210220021111100022112200
43111111310110000000
512223120144342311
6253122410153200
722356433512435
oct3252564240000
9726244308480
10229073043456
1189170841044
1238490122800
13187a863cc7a
14b131393b8c
155e5a9e9556
hex3555d14000

229073043456 has 180 divisors, whose sum is σ = 684577994100. Its totient is φ = 73723281408.

The previous prime is 229073043401. The next prime is 229073043499. The reversal of 229073043456 is 654340370922.

229073043456 is a `hidden beast` number, since 2 + 2 + 90 + 73 + 0 + 43 + 456 = 666.

229073043456 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 2 ways, for example, as 66192998400 + 162880045056 = 257280^2 + 403584^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4249440 + ... + 4303008.

Almost surely, 2229073043456 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 229073043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342288997050).

229073043456 is an abundant number, since it is smaller than the sum of its proper divisors (455504950644).

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

229073043456 is an equidigital number, since it uses as much as digits as its factorization.

229073043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53632 (or 53603 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 229073043456 in words is "two hundred twenty-nine billion, seventy-three million, forty-three thousand, four hundred fifty-six".