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214262411 = 11192329253
BaseRepresentation
bin11001100010101…
…10001010001011
3112221011122202212
430301112022023
5414322344121
633132215335
75211125516
oct1461261213
9487148685
10214262411
11aaa44580
125b90a54b
133550bcbc
1420655d7d
1513c2525b
hexcc5628b

214262411 has 48 divisors (see below), whose sum is σ = 270915840. Its totient is φ = 167207040.

The previous prime is 214262393. The next prime is 214262417. The reversal of 214262411 is 114262412.

It is not a de Polignac number, because 214262411 - 214 = 214246027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214262417) 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 47 ways as a sum of consecutive naturals, for example, 4042661 + ... + 4042713.

It is an arithmetic number, because the mean of its divisors is an integer number (5644080).

Almost surely, 2214262411 is an apocalyptic number.

214262411 is a deficient number, since it is larger than the sum of its proper divisors (56653429).

214262411 is a wasteful number, since it uses less digits than its factorization.

214262411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 214262411 is about 14637.7051138490. The cubic root of 214262411 is about 598.3867877607.

Subtracting from 214262411 its reverse (114262412), we obtain a palindrome (99999999).

The spelling of 214262411 in words is "two hundred fourteen million, two hundred sixty-two thousand, four hundred eleven".

Divisors: 1 11 19 23 29 53 209 253 319 437 551 583 667 841 1007 1219 1537 4807 6061 7337 9251 11077 12673 13409 15979 16907 19343 23161 29203 35351 44573 139403 175769 212773 254771 321233 367517 388861 490303 671669 846887 1025179 4042687 7388359 9315757 11276969 19478401 214262411