223875414 has 192 divisors, whose sum is σ = 628992000. Its totient is φ = 59439744.

The previous prime is 223875403. The next prime is 223875433. The reversal of 223875414 is 414578322.

It is a happy number.

223875414 is a `hidden beast` number, since 2 + 238 + 7 + 5 + 414 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2833827 + ... + 2833905.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^223875414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223875414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

223875414 is an abundant number, since it is smaller than the sum of its proper divisors (405116586).

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

223875414 is an equidigital number, since it uses as much as digits as its factorization.

223875414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 223875414 is about 14962.4668420685. The cubic root of 223875414 is about 607.2051793056.

The spelling of 223875414 in words is "two hundred twenty-three million, eight hundred seventy-five thousand, four hundred fourteen".