235224213840 has 1120 divisors, whose sum is σ = 1044138528000. Its totient is φ = 48832035840.

The previous prime is 235224213821. The next prime is 235224213841. The reversal of 235224213840 is 48312422532.

235224213840 is a `hidden beast` number, since 2 + 3 + 522 + 42 + 13 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 235224213795 and 235224213804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235224213841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 220040826 + ... + 220041894.

Almost surely, 2^235224213840 is an apocalyptic number.

235224213840 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 235224213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522069264000).

235224213840 is an abundant number, since it is smaller than the sum of its proper divisors (808914314160).

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

235224213840 is a wasteful number, since it uses less digits than its factorization.

235224213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 235224213840 in words is "two hundred thirty-five billion, two hundred twenty-four million, two hundred thirteen thousand, eight hundred forty".