Search a number
-
+
33212223 = 3211335477
BaseRepresentation
bin111111010110…
…0011100111111
32022111100121100
41332230130333
532000242343
63143504143
7552204432
oct176543477
968440540
1033212223
1117824920
12b158053
136b5b105
1445a7819
152db09d3
hex1fac73f

33212223 has 12 divisors (see below), whose sum is σ = 52334568. Its totient is φ = 20128560.

The previous prime is 33212189. The next prime is 33212261. The reversal of 33212223 is 32221233.

It is a happy number.

It is not a de Polignac number, because 33212223 - 214 = 33195839 is a prime.

It is a super-2 number, since 2×332122232 = 2206103513203458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33212196 and 33212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33212723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167640 + ... + 167837.

It is an arithmetic number, because the mean of its divisors is an integer number (4361214).

Almost surely, 233212223 is an apocalyptic number.

33212223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

33212223 is a deficient number, since it is larger than the sum of its proper divisors (19122345).

33212223 is a wasteful number, since it uses less digits than its factorization.

33212223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335494 (or 335491 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 33212223 is about 5763.0046850580. The cubic root of 33212223 is about 321.4395527254.

Adding to 33212223 its reverse (32221233), we get a palindrome (65433456).

The spelling of 33212223 in words is "thirty-three million, two hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 99 335477 1006431 3019293 3690247 11070741 33212223