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214540431 = 3710499739
BaseRepresentation
bin11001100100110…
…10000010001111
3112221200210010220
430302122002033
5414410243211
633142202423
75213364210
oct1462320217
9487623126
10214540431
11100114446
125ba23413
13355a8701
14206c9407
1513c7c806
hexcc9a08f

214540431 has 16 divisors (see below), whose sum is σ = 327264000. Its totient is φ = 122465088.

The previous prime is 214540411. The next prime is 214540433. The reversal of 214540431 is 134045412.

It is not a de Polignac number, because 214540431 - 25 = 214540399 is a prime.

It is a super-2 number, since 2×2145404312 = 92055193067331522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214540433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17160 + ... + 26898.

It is an arithmetic number, because the mean of its divisors is an integer number (20454000).

Almost surely, 2214540431 is an apocalyptic number.

214540431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214540431 is a deficient number, since it is larger than the sum of its proper divisors (112723569).

214540431 is a wasteful number, since it uses less digits than its factorization.

214540431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10798.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 214540431 is about 14647.1987424217. The cubic root of 214540431 is about 598.6454917020.

Adding to 214540431 its reverse (134045412), we get a palindrome (348585843).

The spelling of 214540431 in words is "two hundred fourteen million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 1049 3147 7343 9739 22029 29217 68173 204519 10216211 30648633 71513477 214540431