Search a number
-
+
2243215221 = 3131929139751
BaseRepresentation
bin1000010110110100…
…1011111101110101
312210100000010210020
42011231023331311
514043230341341
61010331515353
7106406005032
oct20555137565
95710003706
102243215221
11a51266885
125272b8b59
132999827b0
14173cca389
15d1e06566
hex85b4bf75

2243215221 has 64 divisors (see below), whose sum is σ = 3537408000. Its totient is φ = 1251936000.

The previous prime is 2243215181. The next prime is 2243215327. The reversal of 2243215221 is 1225123422.

It is not a de Polignac number, because 2243215221 - 26 = 2243215157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2243215191 and 2243215200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243215621) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2986596 + ... + 2987346.

It is an arithmetic number, because the mean of its divisors is an integer number (55272000).

Almost surely, 22243215221 is an apocalyptic number.

It is an amenable number.

2243215221 is a deficient number, since it is larger than the sum of its proper divisors (1294192779).

2243215221 is a wasteful number, since it uses less digits than its factorization.

2243215221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954.

The product of its digits is 1920, while the sum is 24.

The square root of 2243215221 is about 47362.5930561239. The cubic root of 2243215221 is about 1309.0522486641.

Adding to 2243215221 its reverse (1225123422), we get a palindrome (3468338643).

The spelling of 2243215221 in words is "two billion, two hundred forty-three million, two hundred fifteen thousand, two hundred twenty-one".

Divisors: 1 3 13 19 29 39 57 87 139 247 377 417 551 741 751 1131 1653 1807 2253 2641 4031 5421 7163 7923 9763 12093 14269 21489 21779 29289 34333 42807 52403 65337 76589 102999 104389 157209 185497 229767 283127 313167 413801 556491 849381 995657 1241403 1357057 1983391 2986971 3027281 4071171 5379413 5950173 9081843 16138239 25784083 39354653 57518339 77352249 118063959 172555017 747738407 2243215221