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238084900 = 225215432
BaseRepresentation
bin11100011000011…
…10001100100100
3121120222222002021
432030032030210
5441422204100
635342552524
75620455034
oct1614161444
9546888067
10238084900
11112435789
1267898744
133a430251
14238978c4
1515d7da1a
hexe30e324

238084900 has 27 divisors (see below), whose sum is σ = 516979281. Its totient is φ = 95172240.

The previous prime is 238084859. The next prime is 238084933. The reversal of 238084900 is 9480832.

The square root of 238084900 is 15430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85710564 + 152374336 = 9258^2 + 12344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 153529 + ... + 155071.

Almost surely, 2238084900 is an apocalyptic number.

238084900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

238084900 is the 15430-th square number.

It is an amenable number.

238084900 is an abundant number, since it is smaller than the sum of its proper divisors (278894381).

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

238084900 is an equidigital number, since it uses as much as digits as its factorization.

238084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 238084900 is about 619.7891235668.

The spelling of 238084900 in words is "two hundred thirty-eight million, eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1543 3086 6172 7715 15430 30860 38575 77150 154300 2380849 4761698 9523396 11904245 23808490 47616980 59521225 119042450 238084900