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214129537 = 9710332137
BaseRepresentation
bin11001100001101…
…01101110000001
3112220220220111121
430300311232001
5414304121122
633125312241
75210033236
oct1460655601
9486826447
10214129537
11aa963766
125b865681
133549368b
142061d78d
1513beabc7
hexcc35b81

214129537 has 8 divisors (see below), whose sum is σ = 216647816. Its totient is φ = 211617792.

The previous prime is 214129507. The next prime is 214129549. The reversal of 214129537 is 735921412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29604481 + 184525056 = 5441^2 + 13584^2 .

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 214129537 - 223 = 205740929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214129507) 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 7 ways as a sum of consecutive naturals, for example, 99133 + ... + 101269.

It is an arithmetic number, because the mean of its divisors is an integer number (27080977).

Almost surely, 2214129537 is an apocalyptic number.

It is an amenable number.

214129537 is a deficient number, since it is larger than the sum of its proper divisors (2518279).

214129537 is a wasteful number, since it uses less digits than its factorization.

214129537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267.

The product of its digits is 15120, while the sum is 34.

The square root of 214129537 is about 14633.1656520385. The cubic root of 214129537 is about 598.2630664365.

The spelling of 214129537 in words is "two hundred fourteen million, one hundred twenty-nine thousand, five hundred thirty-seven".

Divisors: 1 97 1033 2137 100201 207289 2207521 214129537