Search a number
-
+
223422043122153 = 32101245788826317
BaseRepresentation
bin110010110011001101111111…
…100000111110100111101001
31002022001221100022221211121200
4302303031333200332213221
5213241021321014402103
62111102400351554413
765026465336054011
oct6263157740764751
91068057308854550
10223422043122153
1165209835818387
122108483222ba09
1397887ba480795
143d25982704c41
151ac6ac035d0a3
hexcb337f83e9e9

223422043122153 has 12 divisors (see below), whose sum is σ = 325915983697668. Its totient is φ = 147473295789600.

The previous prime is 223422043122137. The next prime is 223422043122169. The reversal of 223422043122153 is 351221340224322.

223422043122153 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 2 + 2 + 0 + 431 + 2 + 215 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (223422043122137) and next prime (223422043122169).

It can be written as a sum of positive squares in 2 ways, for example, as 215526240979344 + 7895802142809 = 14680812^2 + 2809947^2 .

It is not a de Polignac number, because 223422043122153 - 24 = 223422043122137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (223422043122193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122894412250 + ... + 122894414067.

It is an arithmetic number, because the mean of its divisors is an integer number (27159665308139).

Almost surely, 2223422043122153 is an apocalyptic number.

It is an amenable number.

223422043122153 is a deficient number, since it is larger than the sum of its proper divisors (102493940575515).

223422043122153 is a wasteful number, since it uses less digits than its factorization.

223422043122153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245788826424 (or 245788826421 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 223422043122153 its reverse (351221340224322), we get a palindrome (574643383346475).

The spelling of 223422043122153 in words is "two hundred twenty-three trillion, four hundred twenty-two billion, forty-three million, one hundred twenty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 101 303 909 245788826317 737366478951 2212099436853 24824671458017 74474014374051 223422043122153