221378080 has 288 divisors, whose sum is σ = 707398272. Its totient is φ = 64512000.

The previous prime is 221378077. The next prime is 221378107. The reversal of 221378080 is 80873122.

221378080 = 40² + 41² + ... + 872².

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1466005 + ... + 1466155.

It is an arithmetic number, because the mean of its divisors is an integer number (2456244).

Almost surely, 2^221378080 is an apocalyptic number.

221378080 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 221378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353699136).

221378080 is an abundant number, since it is smaller than the sum of its proper divisors (486020192).

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

221378080 is a wasteful number, since it uses less digits than its factorization.

221378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 221378080 is about 14878.7795198397. The cubic root of 221378080 is about 604.9389369876.

The spelling of 221378080 in words is "two hundred twenty-one million, three hundred seventy-eight thousand, eighty".