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214141416 = 2338922559
BaseRepresentation
bin11001100001110…
…00100111101000
3112220221111210120
430300320213220
5414310011131
633125443240
75210112666
oct1460704750
9486844716
10214141416
11aa971685
125b870520
1335498bc8
1420623c36
1513bee496
hexcc389e8

214141416 has 16 divisors (see below), whose sum is σ = 535353600. Its totient is φ = 71380464.

The previous prime is 214141409. The next prime is 214141489. The reversal of 214141416 is 614141412.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8922559 = 214141416 / (2 + 1 + 4 + 1 + 4 + 1 + 4 + 1 + 6).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4461256 + ... + 4461303.

It is an arithmetic number, because the mean of its divisors is an integer number (33459600).

Almost surely, 2214141416 is an apocalyptic number.

It is an amenable number.

214141416 is an abundant number, since it is smaller than the sum of its proper divisors (321212184).

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

214141416 is a wasteful number, since it uses less digits than its factorization.

214141416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922568 (or 8922564 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 214141416 is about 14633.5715394431. The cubic root of 214141416 is about 598.2741292658.

Adding to 214141416 its reverse (614141412), we get a palindrome (828282828).

The spelling of 214141416 in words is "two hundred fourteen million, one hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 8922559 17845118 26767677 35690236 53535354 71380472 107070708 214141416