Search a number
-
+
222142230144 = 27326129310789
BaseRepresentation
bin1100111011100010110…
…1010110111010000000
3210020101110210112001100
43032320231112322000
512114421402331034
6250014542534400
722022614541562
oct3167055267200
9706343715040
10222142230144
118623455245a
1237076b97400
1317c4277c5c3
14aa74ac7332
155ba22ea099
hex33b8b56e80

222142230144 has 192 divisors, whose sum is σ = 651994597800. Its totient is φ = 72578211840.

The previous prime is 222142230139. The next prime is 222142230223. The reversal of 222142230144 is 441032241222.

It is a happy number.

222142230144 is a `hidden beast` number, since 2 + 221 + 422 + 3 + 0 + 14 + 4 = 666.

222142230144 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 4 ways, for example, as 181373774400 + 40768455744 = 425880^2 + 201912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 20584302 + ... + 20595090.

Almost surely, 2222142230144 is an apocalyptic number.

222142230144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222142230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325997298900).

222142230144 is an abundant number, since it is smaller than the sum of its proper divisors (429852367656).

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

222142230144 is a wasteful number, since it uses less digits than its factorization.

222142230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11163 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 222142230144 its reverse (441032241222), we get a palindrome (663174471366).

The spelling of 222142230144 in words is "two hundred twenty-two billion, one hundred forty-two million, two hundred thirty thousand, one hundred forty-four".