Search a number
-
+
232212112332201 = 32140918311813921
BaseRepresentation
bin110100110011001000011000…
…011101111101010110101001
31010110012021001100221120200100
4310303020120131331112221
5220414030401224112301
62141512434405100013
766624525421420011
oct6463103035752651
91113167040846610
10232212112332201
1167a98670721891
122206431a6b7609
139c7567b786c21
14414b1aa440c41
151bca583829286
hexd3321877d5a9

232212112332201 has 12 divisors (see below), whose sum is σ = 335655549190260. Its totient is φ = 154698203996160.

The previous prime is 232212112332199. The next prime is 232212112332257. The reversal of 232212112332201 is 102233211212232.

232212112332201 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 12 + 112 + 332 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2599430675625 + 229612681656576 = 1612275^2 + 15152976^2 .

It is not a de Polignac number, because 232212112332201 - 21 = 232212112332199 is a prime.

It is a super-2 number, since 2×2322121123322012 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232212112332301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9155894280 + ... + 9155919641.

It is an arithmetic number, because the mean of its divisors is an integer number (27971295765855).

Almost surely, 2232212112332201 is an apocalyptic number.

It is an amenable number.

232212112332201 is a deficient number, since it is larger than the sum of its proper divisors (103443436858059).

232212112332201 is a wasteful number, since it uses less digits than its factorization.

232212112332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18311815336 (or 18311815333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 232212112332201 its reverse (102233211212232), we get a palindrome (334445323544433).

The spelling of 232212112332201 in words is "two hundred thirty-two trillion, two hundred twelve billion, one hundred twelve million, three hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 1409 4227 12681 18311813921 54935441763 164806325289 25801345814689 77404037444067 232212112332201