223414400 has 144 divisors (see below), whose sum is σ = 607688970. Its totient is φ = 81100800.

The previous prime is 223414397. The next prime is 223414403. The reversal of 223414400 is 4414322.

It is an interprime number because it is at equal distance from previous prime (223414397) and next prime (223414403).

It can be written as a sum of positive squares in 3 ways, for example, as 215972416 + 7441984 = 14696^2 + 2728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223414403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 386912 + ... + 387488.

Almost surely, 2^223414400 is an apocalyptic number.

223414400 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 223414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303844485).

223414400 is an abundant number, since it is smaller than the sum of its proper divisors (384274570).

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

223414400 is a wasteful number, since it uses less digits than its factorization.

223414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223414400 is about 14947.0532212875. The cubic root of 223414400 is about 606.7880984365.

Adding to 223414400 its reverse (4414322), we get a palindrome (227828722).

The spelling of 223414400 in words is "two hundred twenty-three million, four hundred fourteen thousand, four hundred".