Search a number
-
+
229121017776 = 243271737935279
BaseRepresentation
bin1101010101100010101…
…1010100011110110000
3210220101211121122221100
43111120223110132300
512223214440032101
6253131242324400
722360555342320
oct3253053243660
9726354548840
10229121017776
1189195928942
12384a41b9700
13187b5569341
14b1378c1280
155e5ed23e86
hex3558ad47b0

229121017776 has 240 divisors, whose sum is σ = 778000204800. Its totient is φ = 61448067072.

The previous prime is 229121017747. The next prime is 229121017777. The reversal of 229121017776 is 677710121922.

229121017776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (229121017777) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6476905 + ... + 6512183.

It is an arithmetic number, because the mean of its divisors is an integer number (3241667520).

Almost surely, 2229121017776 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 229121017776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389000102400).

229121017776 is an abundant number, since it is smaller than the sum of its proper divisors (548879187024).

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

229121017776 is a wasteful number, since it uses less digits than its factorization.

229121017776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35696 (or 35687 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 229121017776 in words is "two hundred twenty-nine billion, one hundred twenty-one million, seventeen thousand, seven hundred seventy-six".