Search a number
-
+
12252225221 = 194756924113
BaseRepresentation
bin10110110100100101…
…00001111011000101
31011121212201112022022
423122102201323011
5200043032201341
65343435412525
7612423124145
oct133222417305
934555645268
1012252225221
115218075175
12245b2b4145
1312034a6012
14843316925
154ba993e4b
hex2da4a1ec5

12252225221 has 16 divisors (see below), whose sum is σ = 13195180800. Its totient is φ = 11339970048.

The previous prime is 12252225217. The next prime is 12252225239.

12252225221 is nontrivially palindromic in base 10.

12252225221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12252225221 - 22 = 12252225217 is a prime.

It is a super-2 number, since 2×122522252212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252225241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496061 + ... + 520173.

It is an arithmetic number, because the mean of its divisors is an integer number (824698800).

Almost surely, 212252225221 is an apocalyptic number.

It is an amenable number.

12252225221 is a deficient number, since it is larger than the sum of its proper divisors (942955579).

12252225221 is a wasteful number, since it uses less digits than its factorization.

12252225221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24748.

The product of its digits is 3200, while the sum is 26.

The spelling of 12252225221 in words is "twelve billion, two hundred fifty-two million, two hundred twenty-five thousand, two hundred twenty-one".

Divisors: 1 19 47 569 893 10811 24113 26743 458147 508117 1133311 13720297 21532909 260685643 644853959 12252225221