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404002212 = 223177127893
BaseRepresentation
bin11000000101001…
…001010110100100
31001011012102211220
4120011021112210
51311411032322
6104031100340
713003651005
oct3005112644
91034172756
10404002212
11198059929
12b33716b0
1365913183
143b9271ac
152570455c
hex181495a4

404002212 has 48 divisors (see below), whose sum is σ = 1012217472. Its totient is φ = 124956160.

The previous prime is 404002189. The next prime is 404002213. The reversal of 404002212 is 212200404.

It is a junction number, because it is equal to n+sod(n) for n = 404002191 and 404002200.

It is not an unprimeable number, because it can be changed into a prime (404002213) 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 15 ways as a sum of consecutive naturals, for example, 538 + ... + 28430.

It is an arithmetic number, because the mean of its divisors is an integer number (21087864).

Almost surely, 2404002212 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 404002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506108736).

404002212 is an abundant number, since it is smaller than the sum of its proper divisors (608215260).

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

404002212 is a wasteful number, since it uses less digits than its factorization.

404002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27988 (or 27986 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 404002212 is about 20099.8062677231. The cubic root of 404002212 is about 739.2555283688.

Adding to 404002212 its reverse (212200404), we get a palindrome (616202616).

The spelling of 404002212 in words is "four hundred four million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484 27893 55786 83679 111572 167358 334716 474181 948362 1422543 1896724 1980403 2845086 3960806 5690172 5941209 7921612 11882418 23764836 33666851 67333702 101000553 134667404 202001106 404002212