221662848 has 128 divisors (see below), whose sum is σ = 650139840. Its totient is φ = 66355200.

The previous prime is 221662843. The next prime is 221662853. The reversal of 221662848 is 848266122.

It is an interprime number because it is at equal distance from previous prime (221662843) and next prime (221662853).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×221662848² = 98268836366942208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221662841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409458 + ... + 409998.

Almost surely, 2^221662848 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 221662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325069920).

221662848 is an abundant number, since it is smaller than the sum of its proper divisors (428476992).

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

221662848 is a wasteful number, since it uses less digits than its factorization.

221662848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 221662848 is about 14888.3460464888. The cubic root of 221662848 is about 605.1982120388.

The spelling of 221662848 in words is "two hundred twenty-one million, six hundred sixty-two thousand, eight hundred forty-eight".