235312224 has 96 divisors (see below), whose sum is σ = 713131776. Its totient is φ = 66547200.

The previous prime is 235312223. The next prime is 235312229. The reversal of 235312224 is 422213532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 235312194 and 235312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235312223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66139 + ... + 69605.

It is an arithmetic number, because the mean of its divisors is an integer number (7428456).

Almost surely, 2^235312224 is an apocalyptic number.

235312224 is a gapful number since it is divisible by the number (24) 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 235312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356565888).

235312224 is an abundant number, since it is smaller than the sum of its proper divisors (477819552).

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

235312224 is a wasteful number, since it uses less digits than its factorization.

235312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3580 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 235312224 is about 15339.8899604919. The cubic root of 235312224 is about 617.3737542346.

Adding to 235312224 its reverse (422213532), we get a palindrome (657525756).

The spelling of 235312224 in words is "two hundred thirty-five million, three hundred twelve thousand, two hundred twenty-four".