233434001020 has 96 divisors (see below), whose sum is σ = 552349409472. Its totient is φ = 82814336000.

The previous prime is 233434001011. The next prime is 233434001023. The reversal of 233434001020 is 20100434332.

It is a happy number.

233434001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233434001020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 233434000982 and 233434001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233434001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984480 + ... + 1198360.

It is an arithmetic number, because the mean of its divisors is an integer number (5753639682).

Almost surely, 2^233434001020 is an apocalyptic number.

233434001020 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 233434001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276174704736).

233434001020 is an abundant number, since it is smaller than the sum of its proper divisors (318915408452).

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

233434001020 is a wasteful number, since it uses less digits than its factorization.

233434001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213964 (or 213940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 233434001020 its reverse (20100434332), we get a palindrome (253534435352).

The spelling of 233434001020 in words is "two hundred thirty-three billion, four hundred thirty-four million, one thousand, twenty".