Search a number
-
+
221434310344 = 23132129176061
BaseRepresentation
bin1100111000111010000…
…0110110111011001000
3210011120010201110122111
43032032200312323020
512111444140412334
6245420413432104
721666230403502
oct3161640667310
9704503643574
10221434310344
1185a00993875
1236ab9a9b634
1317b5bbc9450
14aa08a8ad72
155b600b1064
hex338e836ec8

221434310344 has 16 divisors (see below), whose sum is σ = 447126973020. Its totient is φ = 102200450880.

The previous prime is 221434310327. The next prime is 221434310359. The reversal of 221434310344 is 443013434122.

221434310344 is digitally balanced in base 2, 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 184891400100 + 36542910244 = 429990^2 + 191162^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1064587927 + ... + 1064588134.

Almost surely, 2221434310344 is an apocalyptic number.

It is an amenable number.

221434310344 is an abundant number, since it is smaller than the sum of its proper divisors (225692662676).

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

221434310344 is a wasteful number, since it uses less digits than its factorization.

221434310344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129176080 (or 2129176076 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 221434310344 its reverse (443013434122), we get a palindrome (664447744466).

The spelling of 221434310344 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 2129176061 4258352122 8516704244 17033408488 27679288793 55358577586 110717155172 221434310344