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214414431 = 37116311471
BaseRepresentation
bin11001100011110…
…11010001011111
3112221110101022020
430301323101133
5414342230211
633135351223
75212330650
oct1461732137
9487411266
10214414431
11100038810
125b982513
133556325a
1420695527
1513c55306
hexcc7b45f

214414431 has 32 divisors (see below), whose sum is σ = 357236736. Its totient is φ = 111132000.

The previous prime is 214414397. The next prime is 214414433. The reversal of 214414431 is 134414412.

It is not a de Polignac number, because 214414431 - 26 = 214414367 is a prime.

It is a super-2 number, since 2×2144144312 = 91947096442107522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214414433) 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 31 ways as a sum of consecutive naturals, for example, 145026 + ... + 146496.

It is an arithmetic number, because the mean of its divisors is an integer number (11163648).

Almost surely, 2214414431 is an apocalyptic number.

214414431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214414431 is a deficient number, since it is larger than the sum of its proper divisors (142822305).

214414431 is a wasteful number, since it uses less digits than its factorization.

214414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123.

The product of its digits is 1536, while the sum is 24.

The square root of 214414431 is about 14642.8969469842. The cubic root of 214414431 is about 598.5282735425.

Adding to 214414431 its reverse (134414412), we get a palindrome (348828843).

The spelling of 214414431 in words is "two hundred fourteen million, four hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 631 1471 1893 4413 4417 6941 10297 13251 16181 20823 30891 48543 48587 113267 145761 339801 928201 2784603 6497407 10210211 19492221 30630633 71471477 214414431