Search a number
-
+
122232304224 = 2532424417723
BaseRepresentation
bin111000111010110011…
…1001111001001100000
3102200111120122102012200
41301311213033021200
54000312432213344
6132052554253200
711555013304662
oct1616547171140
9380446572180
10122232304224
1147924a49348
121b833427200
13b6ac819744
145cb79d2532
1532a5e54069
hex1c759cf260

122232304224 has 36 divisors (see below), whose sum is σ = 347598115956. Its totient is φ = 40744101312.

The previous prime is 122232304217. The next prime is 122232304279. The reversal of 122232304224 is 422403232221.

122232304224 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 230 + 422 + 4 = 666.

122232304224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 212208574 + ... + 212209149.

It is an arithmetic number, because the mean of its divisors is an integer number (9655503221).

Almost surely, 2122232304224 is an apocalyptic number.

It is an amenable number.

122232304224 is an abundant number, since it is smaller than the sum of its proper divisors (225365811732).

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

122232304224 is a wasteful number, since it uses less digits than its factorization.

122232304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424417739 (or 424417728 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 122232304224 its reverse (422403232221), we get a palindrome (544635536445).

The spelling of 122232304224 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 424417723 848835446 1273253169 1697670892 2546506338 3395341784 3819759507 5093012676 6790683568 7639519014 10186025352 13581367136 15279038028 20372050704 30558076056 40744101408 61116152112 122232304224