Search a number
-
+
231222242222132 = 22721379386263961
BaseRepresentation
bin110100100100101110011111…
…100111001010000000110100
31010022200122000121200212210212
4310210232133213022000310
5220301321123002102012
62135434010501204552
766463153466334530
oct6444563747120064
91108618017625725
10231222242222132
1167746890868157
1221b24505100758
139c032190861c5
1441153054ccbc0
151bae94b57bb22
hexd24b9f9ca034

231222242222132 has 24 divisors (see below), whose sum is σ = 462466116423360. Its totient is φ = 99090611242560.

The previous prime is 231222242222131. The next prime is 231222242222143.

231222242222132 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231222242222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192533369 + ... + 193730592.

It is an arithmetic number, because the mean of its divisors is an integer number (19269421517640).

Almost surely, 2231222242222132 is an apocalyptic number.

It is an amenable number.

231222242222132 is an abundant number, since it is smaller than the sum of its proper divisors (231243874201228).

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

231222242222132 is a wasteful number, since it uses less digits than its factorization.

231222242222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386285351 (or 386285349 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 231222242222132 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, two hundred forty-two million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 21379 42758 85516 149653 299306 598612 386263961 772527922 1545055844 2703847727 5407695454 10815390908 8257937222219 16515874444438 33031748888876 57805560555533 115611121111066 231222242222132