Search a number
-
+
214528428 = 223229205487
BaseRepresentation
bin11001100100101…
…11000110101100
3112221200011200100
430302113012230
5414404402203
633142031100
75213314212
oct1462270654
9487604610
10214528428
11100106424
125ba18490
13355a30ca
14206c4cb2
1513c78ea3
hexcc971ac

214528428 has 36 divisors (see below), whose sum is σ = 560982240. Its totient is φ = 69043296.

The previous prime is 214528421. The next prime is 214528451. The reversal of 214528428 is 824825412.

214528428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 214528392 and 214528401.

It is not an unprimeable number, because it can be changed into a prime (214528421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101700 + ... + 103787.

It is an arithmetic number, because the mean of its divisors is an integer number (15582840).

Almost surely, 2214528428 is an apocalyptic number.

It is an amenable number.

214528428 is an abundant number, since it is smaller than the sum of its proper divisors (346453812).

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

214528428 is a wasteful number, since it uses less digits than its factorization.

214528428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205526 (or 205521 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 214528428 is about 14646.7889996408. The cubic root of 214528428 is about 598.6343272550.

The spelling of 214528428 in words is "two hundred fourteen million, five hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 205487 410974 616461 821948 1232922 1849383 2465844 3698766 5959123 7397532 11918246 17877369 23836492 35754738 53632107 71509476 107264214 214528428