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214133256 = 23327873779
BaseRepresentation
bin11001100001101…
…10101000001000
3112220221002121100
430300312220020
5414304231011
633125341400
75210050131
oct1460665010
9486832540
10214133256
11aa966537
125b867860
133549528c
1420620c88
1513bebd56
hexcc36a08

214133256 has 48 divisors (see below), whose sum is σ = 580834800. Its totient is φ = 71268192.

The previous prime is 214133233. The next prime is 214133261. The reversal of 214133256 is 652331412.

It is a super-3 number, since 3×2141332563 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54775 + ... + 58553.

It is an arithmetic number, because the mean of its divisors is an integer number (12100725).

Almost surely, 2214133256 is an apocalyptic number.

It is an amenable number.

214133256 is an abundant number, since it is smaller than the sum of its proper divisors (366701544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214133256 is a wasteful number, since it uses less digits than its factorization.

214133256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4571 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 214133256 is about 14633.2927258358. The cubic root of 214133256 is about 598.2665299591.

Adding to 214133256 its reverse (652331412), we get a palindrome (866464668).

The spelling of 214133256 in words is "two hundred fourteen million, one hundred thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 787 1574 2361 3148 3779 4722 6296 7083 7558 9444 11337 14166 15116 18888 22674 28332 30232 34011 45348 56664 68022 90696 136044 272088 2974073 5948146 8922219 11896292 17844438 23792584 26766657 35688876 53533314 71377752 107066628 214133256