221456970 has 192 divisors, whose sum is σ = 723945600. Its totient is φ = 47900160.

The previous prime is 221456933. The next prime is 221456971. The reversal of 221456970 is 79654122.

221456970 is a `hidden beast` number, since 2 + 21 + 4 + 569 + 70 = 666.

It is not an unprimeable number, because it can be changed into a prime (221456971) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 250930 + ... + 251810.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^221456970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221456970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361972800).

221456970 is an abundant number, since it is smaller than the sum of its proper divisors (502488630).

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

221456970 is a wasteful number, since it uses less digits than its factorization.

221456970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 221456970 is about 14881.4303747993. The cubic root of 221456970 is about 605.0107868668.

The spelling of 221456970 in words is "two hundred twenty-one million, four hundred fifty-six thousand, nine hundred seventy".