233414021400 has 192 divisors, whose sum is σ = 829616186880. Its totient is φ = 53179929600.

The previous prime is 233414021381. The next prime is 233414021429. The reversal of 233414021400 is 4120414332.

It is a super-2 number, since 2×233414021400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1216852 + ... + 1395548.

It is an arithmetic number, because the mean of its divisors is an integer number (4320917640).

Almost surely, 2^233414021400 is an apocalyptic number.

233414021400 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 233414021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414808093440).

233414021400 is an abundant number, since it is smaller than the sum of its proper divisors (596202165480).

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

233414021400 is a wasteful number, since it uses less digits than its factorization.

233414021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179034 (or 179025 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 233414021400 its reverse (4120414332), we get a palindrome (237534435732).

The spelling of 233414021400 in words is "two hundred thirty-three billion, four hundred fourteen million, twenty-one thousand, four hundred".