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214016029 = 3718131957
BaseRepresentation
bin11001100000110…
…10000000011101
3112220201010210121
430300122000131
5414242003104
633123034541
75206051303
oct1460320035
9486633717
10214016029
11aa896457
125b80ba51
1335453b06
14205d0273
1513bc7254
hexcc1a01d

214016029 has 8 divisors (see below), whose sum is σ = 221021528. Its totient is φ = 207074880.

The previous prime is 214016021. The next prime is 214016041. The reversal of 214016029 is 920610412.

It can be written as a sum of positive squares in 4 ways, for example, as 39062500 + 174953529 = 6250^2 + 13227^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214016029 - 23 = 214016021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214015994 and 214016012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214016021) 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 7 ways as a sum of consecutive naturals, for example, 9282 + ... + 22675.

It is an arithmetic number, because the mean of its divisors is an integer number (27627691).

Almost surely, 2214016029 is an apocalyptic number.

It is an amenable number.

214016029 is a deficient number, since it is larger than the sum of its proper divisors (7005499).

214016029 is a wasteful number, since it uses less digits than its factorization.

214016029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32175.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 214016029 is about 14629.2866880105. The cubic root of 214016029 is about 598.1573365939.

The spelling of 214016029 in words is "two hundred fourteen million, sixteen thousand, twenty-nine".

Divisors: 1 37 181 6697 31957 1182409 5784217 214016029