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420214333 = 71113141659
BaseRepresentation
bin11001000010111…
…111011000111101
31002021201002200211
4121002333120331
51330033324313
6105410352421
713261522450
oct3102773075
91067632624
10420214333
111a6222280
12b888b711
136909b446
143db47497
1526d57e3d
hex190bf63d

420214333 has 16 divisors (see below), whose sum is σ = 527915520. Its totient is φ = 324932400.

The previous prime is 420214303. The next prime is 420214349. The reversal of 420214333 is 333412024.

It is a happy number.

It is not a de Polignac number, because 420214333 - 29 = 420213821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420214303) 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 15 ways as a sum of consecutive naturals, for example, 10743 + ... + 30916.

It is an arithmetic number, because the mean of its divisors is an integer number (32994720).

Almost surely, 2420214333 is an apocalyptic number.

It is an amenable number.

420214333 is a deficient number, since it is larger than the sum of its proper divisors (107701187).

420214333 is a wasteful number, since it uses less digits than its factorization.

420214333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41808.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 420214333 is about 20499.1300547121. The cubic root of 420214333 is about 749.0146069381.

Adding to 420214333 its reverse (333412024), we get a palindrome (753626357).

The spelling of 420214333 in words is "four hundred twenty million, two hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 7 11 77 131 917 1441 10087 41659 291613 458249 3207743 5457329 38201303 60030619 420214333