223626648 has 64 divisors (see below), whose sum is σ = 642240000. Its totient is φ = 63562752.

The previous prime is 223626647. The next prime is 223626649. The reversal of 223626648 is 846626322.

It is an interprime number because it is at equal distance from previous prime (223626647) and next prime (223626649).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223626647) 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, 30088 + ... + 36776.

It is an arithmetic number, because the mean of its divisors is an integer number (10035000).

Almost surely, 2^223626648 is an apocalyptic number.

223626648 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 223626648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321120000).

223626648 is an abundant number, since it is smaller than the sum of its proper divisors (418613352).

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

223626648 is a wasteful number, since it uses less digits than its factorization.

223626648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6900 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 223626648 is about 14954.1515305951. The cubic root of 223626648 is about 606.9801910943.

The spelling of 223626648 in words is "two hundred twenty-three million, six hundred twenty-six thousand, six hundred forty-eight".