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404212221 = 33721092803
BaseRepresentation
bin11000000101111…
…100100111111101
31001011121002221000
4120011330213331
51311434242341
6104035400513
713005514200
oct3005744775
91034532830
10404212221
11198192696
12b3453139
136598793a
143b97d937
15257468b6
hex1817c9fd

404212221 has 48 divisors (see below), whose sum is σ = 703243200. Its totient is φ = 228777696.

The previous prime is 404212177. The next prime is 404212223. The reversal of 404212221 is 122212404.

It is not a de Polignac number, because 404212221 - 27 = 404212093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404212194 and 404212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142806 + ... + 145608.

It is an arithmetic number, because the mean of its divisors is an integer number (14650900).

Almost surely, 2404212221 is an apocalyptic number.

It is an amenable number.

404212221 is a deficient number, since it is larger than the sum of its proper divisors (299030979).

404212221 is a wasteful number, since it uses less digits than its factorization.

404212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404212221 is about 20105.0297438228. The cubic root of 404212221 is about 739.3835997973.

Adding to 404212221 its reverse (122212404), we get a palindrome (526424625).

The spelling of 404212221 in words is "four hundred four million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 109 147 189 327 441 763 981 1323 2289 2803 2943 5341 6867 8409 16023 19621 20601 25227 48069 58863 75681 137347 144207 176589 305527 412041 529767 916581 1236123 2138689 2749743 3708369 6416067 8249229 14970823 19248201 44912469 57744603 134737407 404212221