233414220 has 96 divisors (see below), whose sum is σ = 718921728. Its totient is φ = 56224512.

The previous prime is 233414213. The next prime is 233414227. The reversal of 233414220 is 22414332.

It is an interprime number because it is at equal distance from previous prime (233414213) and next prime (233414227).

It is not an unprimeable number, because it can be changed into a prime (233414227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33477 + ... + 39843.

It is an arithmetic number, because the mean of its divisors is an integer number (7488768).

Almost surely, 2^233414220 is an apocalyptic number.

233414220 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 233414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359460864).

233414220 is an abundant number, since it is smaller than the sum of its proper divisors (485507508).

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

233414220 is a wasteful number, since it uses less digits than its factorization.

233414220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 233414220 is about 15277.8997247658. The cubic root of 233414220 is about 615.7093803963.

Adding to 233414220 its reverse (22414332), we get a palindrome (255828552).

The spelling of 233414220 in words is "two hundred thirty-three million, four hundred fourteen thousand, two hundred twenty".