221126400 has 324 divisors, whose sum is σ = 864918600. Its totient is φ = 53452800.

The previous prime is 221126387. The next prime is 221126419. The reversal of 221126400 is 4621122.

221126400 is a `hidden beast` number, since 2 + 21 + 1 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633426 + ... + 633774.

Almost surely, 2^221126400 is an apocalyptic number.

221126400 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 221126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432459300).

221126400 is an abundant number, since it is smaller than the sum of its proper divisors (643792200).

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

221126400 is a wasteful number, since it uses less digits than its factorization.

221126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221126400 is about 14870.3194316733. The cubic root of 221126400 is about 604.7096026815.

Adding to 221126400 its reverse (4621122), we get a palindrome (225747522).

It can be divided in two parts, 221 and 126400, that added together give a palindrome (126621).

The spelling of 221126400 in words is "two hundred twenty-one million, one hundred twenty-six thousand, four hundred".