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33130212 = 22317232307
BaseRepresentation
bin111111001100…
…0011011100100
32022100012002220
41332120123210
531440131322
63142032340
7551413353
oct176303344
968305086
1033130212
1117779245
12b1186b0
136b2c99b
14458599a
152d9655c
hex1f986e4

33130212 has 72 divisors (see below), whose sum is σ = 85843296. Its totient is φ = 9909504.

The previous prime is 33130199. The next prime is 33130213. The reversal of 33130212 is 21203133.

It is a super-2 number, since 2×331302122 = 2195221894329888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33130191 and 33130200.

It is not an unprimeable number, because it can be changed into a prime (33130213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107763 + ... + 108069.

It is an arithmetic number, because the mean of its divisors is an integer number (1192268).

Almost surely, 233130212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42921648).

33130212 is an abundant number, since it is smaller than the sum of its proper divisors (52713084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33130212 is a wasteful number, since it uses less digits than its factorization.

33130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 33130212 is about 5755.8849884271. The cubic root of 33130212 is about 321.1747575704.

Adding to 33130212 its reverse (21203133), we get a palindrome (54333345).

The spelling of 33130212 in words is "thirty-three million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 307 391 529 614 782 921 1058 1173 1228 1564 1587 1842 2116 2346 3174 3684 4692 5219 6348 7061 8993 10438 14122 15657 17986 20876 21183 26979 28244 31314 35972 42366 53958 62628 84732 107916 120037 162403 240074 324806 360111 480148 487209 649612 720222 974418 1440444 1948836 2760851 5521702 8282553 11043404 16565106 33130212