223114000 has 80 divisors (see below), whose sum is σ = 542773296. Its totient is φ = 88704000.

The previous prime is 223113991. The next prime is 223114019. The reversal of 223114000 is 411322.

It can be written as a sum of positive squares in 8 ways, for example, as 38588944 + 184525056 = 6212^2 + 13584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223114000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561802 + ... + 562198.

Almost surely, 2^223114000 is an apocalyptic number.

223114000 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 223114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271386648).

223114000 is an abundant number, since it is smaller than the sum of its proper divisors (319659296).

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

223114000 is a wasteful number, since it uses less digits than its factorization.

223114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 223114000 is about 14937.0010376916. The cubic root of 223114000 is about 606.5160167465.

Adding to 223114000 its reverse (411322), we get a palindrome (223525322).

The spelling of 223114000 in words is "two hundred twenty-three million, one hundred fourteen thousand".