Search a number
-
+
9219231 = 33748779
BaseRepresentation
bin100011001010…
…110010011111
3122100101102000
4203022302133
54330003411
6525333343
7141235140
oct43126237
918311360
109219231
1152275aa
123107253
131baa388
14131dac7
15c21956
hex8cac9f

9219231 has 16 divisors (see below), whose sum is σ = 15609600. Its totient is φ = 5268024.

The previous prime is 9219229. The next prime is 9219239. The reversal of 9219231 is 1329129.

It is not a de Polignac number, because 9219231 - 21 = 9219229 is a prime.

It is a super-3 number, since 3×92192313 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

9219231 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9219195 and 9219204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9219239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24201 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (975600).

Almost surely, 29219231 is an apocalyptic number.

9219231 is a deficient number, since it is larger than the sum of its proper divisors (6390369).

9219231 is a wasteful number, since it uses less digits than its factorization.

9219231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48795 (or 48789 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 9219231 is about 3036.3186591661. The cubic root of 9219231 is about 209.6838098761.

The spelling of 9219231 in words is "nine million, two hundred nineteen thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 48779 146337 341453 439011 1024359 1317033 3073077 9219231