Search a number
-
+
214300288 = 276772473
BaseRepresentation
bin11001100010111…
…11011010000000
3112221020120201201
430301133122000
5414330102123
633133110544
75211344116
oct1461373200
9487216651
10214300288
11aaa6aa84
125b928454
1335523307
1420665ab6
1513c315ad
hexcc5f680

214300288 has 32 divisors (see below), whose sum is σ = 427729860. Its totient is φ = 106948608.

The previous prime is 214300279. The next prime is 214300327. The reversal of 214300288 is 882003412.

It can be written as a sum of positive squares in 2 ways, for example, as 168169024 + 46131264 = 12968^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2143002882 = 91849226873765888, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 85420 + ... + 87892.

Almost surely, 2214300288 is an apocalyptic number.

It is an amenable number.

214300288 is a deficient number, since it is larger than the sum of its proper divisors (213429572).

214300288 is an equidigital number, since it uses as much as digits as its factorization.

214300288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 214300288 is about 14638.9988728738. The cubic root of 214300288 is about 598.4220463343.

The spelling of 214300288 in words is "two hundred fourteen million, three hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 677 1354 2473 2708 4946 5416 9892 10832 19784 21664 39568 43328 79136 86656 158272 316544 1674221 3348442 6696884 13393768 26787536 53575072 107150144 214300288