11282220 has 96 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 2829312.

The previous prime is 11282207. The next prime is 11282221. The reversal of 11282220 is 2228211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11282193 and 11282202.

It is not an unprimeable number, because it can be changed into a prime (11282221) 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 31 ways as a sum of consecutive naturals, for example, 8566 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 2^11282220 is an apocalyptic number.

11282220 is a gapful number since it is divisible by the number (10) 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 11282220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597600).

11282220 is an abundant number, since it is smaller than the sum of its proper divisors (25912980).

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

11282220 is a wasteful number, since it uses less digits than its factorization.

11282220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11282220 is about 3358.9016061802. The cubic root of 11282220 is about 224.2839458237.

The spelling of 11282220 in words is "eleven million, two hundred eighty-two thousand, two hundred twenty".