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334214221 = 11273157241
BaseRepresentation
bin10011111010111…
…011010001001101
3212021212211201111
4103322323101031
51141024323341
653055212021
711165526325
oct2372732115
9767784644
10334214221
11161723100
1293b17011
1354319cc3
143255c285
151e51b681
hex13ebb44d

334214221 has 24 divisors (see below), whose sum is σ = 376318712. Its totient is φ = 296524800.

The previous prime is 334214213. The next prime is 334214233. The reversal of 334214221 is 122412433.

It can be written as a sum of positive squares in 4 ways, for example, as 63776196 + 270438025 = 7986^2 + 16445^2 .

It is not a de Polignac number, because 334214221 - 23 = 334214213 is a prime.

It is a super-2 number, since 2×3342142212 = 223398291037273682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334214192 and 334214201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334214521) 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 23 ways as a sum of consecutive naturals, for example, 1386661 + ... + 1386901.

Almost surely, 2334214221 is an apocalyptic number.

It is an amenable number.

334214221 is a deficient number, since it is larger than the sum of its proper divisors (42104491).

334214221 is a wasteful number, since it uses less digits than its factorization.

334214221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 334214221 is about 18281.5267688451. The cubic root of 334214221 is about 693.9715105115.

Adding to 334214221 its reverse (122412433), we get a palindrome (456626654).

The spelling of 334214221 in words is "three hundred thirty-four million, two hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 11 73 121 157 241 803 1727 2651 8833 11461 17593 18997 29161 37837 126071 193523 416207 1386781 2128753 2762101 4578277 30383111 334214221