Search a number
-
+
235063296 = 2113413109
BaseRepresentation
bin11100000001011…
…00100000000000
3121101022110020000
432000230200000
5440134011141
635154120000
75553001506
oct1600544000
9541273200
10235063296
11110761596
1266880000
1339912b10
142330c676
15159835b6
hexe02c800

235063296 has 240 divisors, whose sum is σ = 763062300. Its totient is φ = 71663616.

The previous prime is 235063261. The next prime is 235063333. The reversal of 235063296 is 692360532.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 2073600 = 15264^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 235063296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2156490 + ... + 2156598.

Almost surely, 2235063296 is an apocalyptic number.

235063296 is a gapful number since it is divisible by the number (26) 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 235063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381531150).

235063296 is an abundant number, since it is smaller than the sum of its proper divisors (527999004).

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

235063296 is a wasteful number, since it uses less digits than its factorization.

235063296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 235063296 is about 15331.7740656455. The cubic root of 235063296 is about 617.1559785570.

The spelling of 235063296 in words is "two hundred thirty-five million, sixty-three thousand, two hundred ninety-six".