22448160 has 288 divisors, whose sum is σ = 93405312. Its totient is φ = 4792320.

The previous prime is 22448131. The next prime is 22448189. The reversal of 22448160 is 6184422.

22448160 = T₃₃₁ + T₃₃₂ + ... + T₅₅₄.

It is an interprime number because it is at equal distance from previous prime (22448131) and next prime (22448189).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171295 + ... + 171425.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 2^22448160 is an apocalyptic number.

22448160 is a gapful number since it is divisible by the number (20) 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 22448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

22448160 is an abundant number, since it is smaller than the sum of its proper divisors (70957152).

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

22448160 is a wasteful number, since it uses less digits than its factorization.

22448160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22448160 is about 4737.9489233211. The cubic root of 22448160 is about 282.0938272361.

It can be divided in two parts, 2244 and 8160, that added together give a square (10404 = 102²).

The spelling of 22448160 in words is "twenty-two million, four hundred forty-eight thousand, one hundred sixty".