221434000000 has 224 divisors, whose sum is σ = 562088508300. Its totient is φ = 86860800000.

The previous prime is 221433999979. The next prime is 221434000003. The reversal of 221434000000 is 434122.

221434000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 131525176896 + 89908823104 = 362664^2 + 299848^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221434000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 105998956 + ... + 106001044.

Almost surely, 2^221434000000 is an apocalyptic number.

221434000000 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 221434000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281044254150).

221434000000 is an abundant number, since it is smaller than the sum of its proper divisors (340654508300).

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

221434000000 is an frugal number, since it uses more digits than its factorization.

221434000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 221434000000 its reverse (434122), we get a palindrome (221434434122).

The spelling of 221434000000 in words is "two hundred twenty-one billion, four hundred thirty-four million", and thus it is an aban number.