235106202240 has 2304 divisors, whose sum is σ = 1103115801600. Its totient is φ = 47098920960.

The previous prime is 235106202203. The next prime is 235106202241. The reversal of 235106202240 is 42202601532.

It is a happy number.

235106202240 is a `hidden beast` number, since 2 + 3 + 5 + 10 + 620 + 2 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (235106202241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4435966054 + ... + 4435966106.

It is an arithmetic number, because the mean of its divisors is an integer number (478782900).

Almost surely, 2^235106202240 is an apocalyptic number.

235106202240 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 235106202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551557900800).

235106202240 is an abundant number, since it is smaller than the sum of its proper divisors (868009599360).

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

235106202240 is a wasteful number, since it uses less digits than its factorization.

235106202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 235106202240 its reverse (42202601532), we get a palindrome (277308803772).

The spelling of 235106202240 in words is "two hundred thirty-five billion, one hundred six million, two hundred two thousand, two hundred forty".