Search a number
-
+
235379144 = 2372111321719
BaseRepresentation
bin11100000011110…
…01100111001000
3121101220111111002
432001321213020
5440224113034
635204554132
75555455400
oct1601714710
9541814432
10235379144
11110957920
12669b2948
13399c3800
1423391800
15159e6e7e
hexe0799c8

235379144 has 288 divisors, whose sum is σ = 675928800. Its totient is φ = 75479040.

The previous prime is 235379141. The next prime is 235379147. The reversal of 235379144 is 441973532.

Added to its reverse (441973532) it gives a square (677352676 = 260262).

It is an interprime number because it is at equal distance from previous prime (235379141) and next prime (235379147).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 235379098 and 235379107.

It is not an unprimeable number, because it can be changed into a prime (235379141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12388367 + ... + 12388385.

It is an arithmetic number, because the mean of its divisors is an integer number (2346975).

Almost surely, 2235379144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235379144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337964400).

235379144 is an abundant number, since it is smaller than the sum of its proper divisors (440549656).

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

235379144 is a wasteful number, since it uses less digits than its factorization.

235379144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 235379144 is about 15342.0710466351. The cubic root of 235379144 is about 617.4322732738.

Adding to 235379144 its reverse (441973532), we get a square (677352676 = 260262).

The spelling of 235379144 in words is "two hundred thirty-five million, three hundred seventy-nine thousand, one hundred forty-four".