221069968 has 60 divisors (see below), whose sum is σ = 511786812. Its totient is φ = 92171520.

The previous prime is 221069963. The next prime is 221069971. The reversal of 221069968 is 869960122.

It can be written as a sum of positive squares in 2 ways, for example, as 196784784 + 24285184 = 14028^2 + 4928^2 .

It is not an unprimeable number, because it can be changed into a prime (221069963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25198 + ... + 32818.

Almost surely, 2^221069968 is an apocalyptic number.

221069968 is a gapful number since it is divisible by the number (28) 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 221069968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255893406).

221069968 is an abundant number, since it is smaller than the sum of its proper divisors (290716844).

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

221069968 is a wasteful number, since it uses less digits than its factorization.

221069968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 221069968 is about 14868.4218395901. The cubic root of 221069968 is about 604.6581571800.

The spelling of 221069968 in words is "two hundred twenty-one million, sixty-nine thousand, nine hundred sixty-eight".