22352000 has 128 divisors (see below), whose sum is σ = 61102080. Its totient is φ = 8064000.

The previous prime is 22351993. The next prime is 22352051. The reversal of 22352000 is 25322.

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

It is a super-2 number, since 2×22352000² = 999223808000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175937 + ... + 176063.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 2^22352000 is an apocalyptic number.

22352000 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 22352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040).

22352000 is an abundant number, since it is smaller than the sum of its proper divisors (38750080).

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

22352000 is a wasteful number, since it uses less digits than its factorization.

22352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 22352000 is about 4727.7901814696. The cubic root of 22352000 is about 281.6904538964.

Adding to 22352000 its reverse (25322), we get a palindrome (22377322).

The spelling of 22352000 in words is "twenty-two million, three hundred fifty-two thousand".