Search a number
-
+
235424300 = 225213916937
BaseRepresentation
bin11100000100001…
…00101000101100
3121101222210102112
432002010220230
5440232034200
635205543152
75556034136
oct1602045054
9541883375
10235424300
11110988841
1266a14ab8
1339a0b227
14233a4056
1515a05535
hexe084a2c

235424300 has 36 divisors (see below), whose sum is σ = 514576440. Its totient is φ = 93486720.

The previous prime is 235424281. The next prime is 235424309. The reversal of 235424300 is 3424532.

It is not an unprimeable number, because it can be changed into a prime (235424309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5432 + ... + 22368.

It is an arithmetic number, because the mean of its divisors is an integer number (14293790).

Almost surely, 2235424300 is an apocalyptic number.

235424300 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 235424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257288220).

235424300 is an abundant number, since it is smaller than the sum of its proper divisors (279152140).

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

235424300 is a wasteful number, since it uses less digits than its factorization.

235424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17090 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 235424300 is about 15343.5426157065. The cubic root of 235424300 is about 617.4717542413.

Adding to 235424300 its reverse (3424532), we get a palindrome (238848832).

The spelling of 235424300 in words is "two hundred thirty-five million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 13900 16937 33874 67748 84685 169370 338740 423425 846850 1693700 2354243 4708486 9416972 11771215 23542430 47084860 58856075 117712150 235424300