22048000 has 144 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 7987200.

The previous prime is 22047983. The next prime is 22048001. The reversal of 22048000 is 84022.

It can be written as a sum of positive squares in 8 ways, for example, as 8856576 + 13191424 = 2976^2 + 3632^2 .

It is a super-2 number, since 2×22048000² = 972228608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22048001) 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, 415974 + ... + 416026.

It is an arithmetic number, because the mean of its divisors is an integer number (418509).

Almost surely, 2^22048000 is an apocalyptic number.

22048000 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 22048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).

22048000 is an abundant number, since it is smaller than the sum of its proper divisors (38217296).

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

22048000 is an equidigital number, since it uses as much as digits as its factorization.

22048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22048000 is about 4695.5297890653. The cubic root of 22048000 is about 280.4075697165.

It can be divided in two parts, 2 and 2048000, that multiplied together give a cube (4096000 = 160³).

The spelling of 22048000 in words is "twenty-two million, forty-eight thousand".