22131648 has 168 divisors, whose sum is σ = 79248000. Its totient is φ = 5736960.

The previous prime is 22131647. The next prime is 22131649. The reversal of 22131648 is 84613122.

22131648 is a `hidden beast` number, since 2 + 2 + 13 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (22131647) and next prime (22131649).

It is a tau number, because it is divible by the number of its divisors (168).

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 (22131643) 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 23 ways as a sum of consecutive naturals, for example, 44103 + ... + 44601.

Almost surely, 2^22131648 is an apocalyptic number.

22131648 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 22131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624000).

22131648 is an abundant number, since it is smaller than the sum of its proper divisors (57116352).

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

22131648 is a wasteful number, since it uses less digits than its factorization.

22131648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 22131648 is about 4704.4285519072. The cubic root of 22131648 is about 280.7617353562.

The spelling of 22131648 in words is "twenty-two million, one hundred thirty-one thousand, six hundred forty-eight".