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214529328 = 243213114599
BaseRepresentation
bin11001100100101…
…11010100110000
3112221200012220200
430302113110300
5414404414303
633142035200
75213316636
oct1462272460
9487605820
10214529328
11100107072
125ba18b00
13355a3640
14206c5356
1513c793a3
hexcc97530

214529328 has 60 divisors (see below), whose sum is σ = 646573200. Its totient is φ = 66008448.

The previous prime is 214529321. The next prime is 214529333. The reversal of 214529328 is 823925412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 214529292 and 214529301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214529321) 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 11 ways as a sum of consecutive naturals, for example, 55428 + ... + 59171.

It is an arithmetic number, because the mean of its divisors is an integer number (10776220).

Almost surely, 2214529328 is an apocalyptic number.

It is an amenable number.

214529328 is an abundant number, since it is smaller than the sum of its proper divisors (432043872).

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

214529328 is a wasteful number, since it uses less digits than its factorization.

214529328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114626 (or 114617 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 214529328 is about 14646.8197230662. The cubic root of 214529328 is about 598.6351643937.

The spelling of 214529328 in words is "two hundred fourteen million, five hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 114599 229198 343797 458396 687594 916792 1031391 1375188 1489787 1833584 2062782 2750376 2979574 4125564 4469361 5500752 5959148 8251128 8938722 11918296 13408083 16502256 17877444 23836592 26816166 35754888 53632332 71509776 107264664 214529328