221340672 has 264 divisors, whose sum is σ = 756178176. Its totient is φ = 61046784.

The previous prime is 221340653. The next prime is 221340689. The reversal of 221340672 is 276043122.

221340672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221340672³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3032028 + ... + 3032100.

Almost surely, 2^221340672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378089088).

221340672 is an abundant number, since it is smaller than the sum of its proper divisors (534837504).

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

221340672 is a wasteful number, since it uses less digits than its factorization.

221340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 221340672 is about 14877.5223743740. The cubic root of 221340672 is about 604.9048613006.

Adding to 221340672 its reverse (276043122), we get a palindrome (497383794).

The spelling of 221340672 in words is "two hundred twenty-one million, three hundred forty thousand, six hundred seventy-two".