Search a number
-
+
254231400 = 233521929769
BaseRepresentation
bin11110010011101…
…00001101101000
3122201101021220210
433021310031220
51010040401100
641121021120
76204634263
oct1711641550
9581337823
10254231400
111205638a5
12711847a0
13408946a7
1425a9bcda
15174bcc50
hexf274368

254231400 has 192 divisors, whose sum is σ = 859320000. Its totient is φ = 61931520.

The previous prime is 254231389. The next prime is 254231473. The reversal of 254231400 is 4132452.

254231400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330216 + ... + 330984.

It is an arithmetic number, because the mean of its divisors is an integer number (4475625).

Almost surely, 2254231400 is an apocalyptic number.

254231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660000).

254231400 is an abundant number, since it is smaller than the sum of its proper divisors (605088600).

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

254231400 is a wasteful number, since it uses less digits than its factorization.

254231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 254231400 is about 15944.6354614961. The cubic root of 254231400 is about 633.4948126257.

Adding to 254231400 its reverse (4132452), we get a palindrome (258363852).

The spelling of 254231400 in words is "two hundred fifty-four million, two hundred thirty-one thousand, four hundred".