Search a number
-
+
2216432241 = 3452312
BaseRepresentation
bin1000010000011100…
…0001001001110001
312201110121102110000
42010013001021301
514014401312431
61003533500213
7105632235402
oct20407011161
95643542400
102216432241
11a38133391
1251a341669
13294265b8a
141705179a9
15ce8b59e6
hex841c1271

2216432241 has 15 divisors (see below), whose sum is σ = 3311599753. Its totient is φ = 1477339020.

The previous prime is 2216432233. The next prime is 2216432263. The reversal of 2216432241 is 1422346122.

The square root of 2216432241 is 47079.

It is a perfect power (a square), and thus also a powerful number.

2216432241 is a `hidden beast` number, since 221 + 6 + 432 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 2216432241 - 23 = 2216432233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2216431241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 421096 + ... + 426326.

Almost surely, 22216432241 is an apocalyptic number.

2216432241 is the 47079-th square number.

2216432241 is the 23540-th centered octagonal number.

It is an amenable number.

2216432241 is a deficient number, since it is larger than the sum of its proper divisors (1095167512).

2216432241 is an frugal number, since it uses more digits than its factorization.

2216432241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474 (or 5234 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The cubic root of 2216432241 is about 1303.8215441441.

Adding to 2216432241 its reverse (1422346122), we get a palindrome (3638778363).

The spelling of 2216432241 in words is "two billion, two hundred sixteen million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 5231 15693 47079 141237 423711 27363361 82090083 246270249 738810747 2216432241