233533045400 has 96 divisors (see below), whose sum is σ = 554829488640. Its totient is φ = 91374149760.

The previous prime is 233533045351. The next prime is 233533045429. The reversal of 233533045400 is 4540335332.

It is a super-2 number, since 2×233533045400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19574237 + ... + 19586163.

It is an arithmetic number, because the mean of its divisors is an integer number (5779473840).

Almost surely, 2^233533045400 is an apocalyptic number.

233533045400 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 233533045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277414744320).

233533045400 is an abundant number, since it is smaller than the sum of its proper divisors (321296443240).

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

233533045400 is a wasteful number, since it uses less digits than its factorization.

233533045400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073 (or 14064 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

The spelling of 233533045400 in words is "two hundred thirty-three billion, five hundred thirty-three million, forty-five thousand, four hundred".