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214201284 = 223118918233
BaseRepresentation
bin11001100010001…
…11001111000100
3112221001112220220
430301013033010
5414313420114
633131024340
75210452353
oct1461071704
9487045826
10214201284
11aaa02660
125b89b0b0
13354ba22b
142063b99a
1513c120a9
hexcc473c4

214201284 has 48 divisors (see below), whose sum is σ = 551396160. Its totient is φ = 64176640.

The previous prime is 214201271. The next prime is 214201291. The reversal of 214201284 is 482102412.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2632 + ... + 20864.

It is an arithmetic number, because the mean of its divisors is an integer number (11487420).

Almost surely, 2214201284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214201284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275698080).

214201284 is an abundant number, since it is smaller than the sum of its proper divisors (337194876).

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

214201284 is a wasteful number, since it uses less digits than its factorization.

214201284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 214201284 is about 14635.6169668381. The cubic root of 214201284 is about 598.3298776881.

Adding to 214201284 its reverse (482102412), we get a palindrome (696303696).

The spelling of 214201284 in words is "two hundred fourteen million, two hundred one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3916 5874 11748 18233 36466 54699 72932 109398 200563 218796 401126 601689 802252 1203378 1622737 2406756 3245474 4868211 6490948 9736422 17850107 19472844 35700214 53550321 71400428 107100642 214201284