Search a number
-
+
214548282 = 232133892357
BaseRepresentation
bin11001100100110…
…11111100111010
3112221201011220200
430302123330322
5414411021112
633142303030
75213426124
oct1462337472
9487634820
10214548282
1110011a333
125ba27a76
13355ac160
14206cc214
1513c7ecdc
hexcc9bf3a

214548282 has 48 divisors (see below), whose sum is σ = 502112520. Its totient is φ = 65817216.

The previous prime is 214548253. The next prime is 214548283. The reversal of 214548282 is 282845412.

It can be written as a sum of positive squares in 4 ways, for example, as 83010321 + 131537961 = 9111^2 + 11469^2 .

It is not an unprimeable number, because it can be changed into a prime (214548283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89848 + ... + 92204.

Almost surely, 2214548282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214548282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251056260).

214548282 is an abundant number, since it is smaller than the sum of its proper divisors (287564238).

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

214548282 is a wasteful number, since it uses less digits than its factorization.

214548282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2764 counting only the distinct ones).

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

The square root of 214548282 is about 14647.4667434338. The cubic root of 214548282 is about 598.6527939906.

The spelling of 214548282 in words is "two hundred fourteen million, five hundred forty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 389 778 1167 2334 2357 3501 4714 5057 7002 7071 10114 14142 15171 21213 30342 30641 42426 45513 61282 91026 91923 183846 275769 551538 916873 1833746 2750619 5501238 8251857 11919349 16503714 23838698 35758047 71516094 107274141 214548282