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214148416 = 2612726347
BaseRepresentation
bin11001100001110…
…10010101000000
3112220221212101211
430300322111000
5414310222131
633125535504
75210142256
oct1460722500
9486855354
10214148416
11aa976969
125b874594
133549c151
14206265d6
1513c015b1
hexcc3a540

214148416 has 28 divisors (see below), whose sum is σ = 428313088. Its totient is φ = 106227072.

The previous prime is 214148393. The next prime is 214148419. The reversal of 214148416 is 614841412.

214148416 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214148419) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5046 + ... + 21301.

It is an arithmetic number, because the mean of its divisors is an integer number (15296896).

Almost surely, 2214148416 is an apocalyptic number.

It is an amenable number.

214148416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

214148416 is a wasteful number, since it uses less digits than its factorization.

214148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26486 (or 26476 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 214148416 is about 14633.8107135496. The cubic root of 214148416 is about 598.2806481251.

Adding to 214148416 its reverse (614841412), we get a palindrome (828989828).

The spelling of 214148416 in words is "two hundred fourteen million, one hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 26347 52694 105388 210776 421552 843104 1686208 3346069 6692138 13384276 26768552 53537104 107074208 214148416