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214301300 = 22522973897
BaseRepresentation
bin11001100010111…
…11101001110100
3112221020122010012
430301133221310
5414330120200
633133115352
75211350063
oct1461375164
9487218105
10214301300
11aaa70814
125b928b58
1335523905
14206661da
1513c31a35
hexcc5fa74

214301300 has 36 divisors (see below), whose sum is σ = 481075980. Its totient is φ = 82763520.

The previous prime is 214301279. The next prime is 214301317. The reversal of 214301300 is 3103412.

It can be written as a sum of positive squares in 6 ways, for example, as 88804 + 214212496 = 298^2 + 14636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34049 + ... + 39848.

Almost surely, 2214301300 is an apocalyptic number.

214301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214301300 is an abundant number, since it is smaller than the sum of its proper divisors (266774680).

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

214301300 is a wasteful number, since it uses less digits than its factorization.

214301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73940 (or 73933 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 214301300 is about 14639.0334380382. The cubic root of 214301300 is about 598.4229883180.

Adding to 214301300 its reverse (3103412), we get a palindrome (217404712).

The spelling of 214301300 in words is "two hundred fourteen million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 73897 147794 295588 369485 738970 1477940 1847425 2143013 3694850 4286026 7389700 8572052 10715065 21430130 42860260 53575325 107150650 214301300