11228020 has 24 divisors (see below), whose sum is σ = 24217704. Its totient is φ = 4369536.

The previous prime is 11227987. The next prime is 11228023. The reversal of 11228020 is 2082211.

11228020 = T₃₇ + T₃₈ + ... + T₄₀₆.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 5410276 = 2412^2 + 2326^2 .

It is a super-3 number, since 3×11228020³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11227985 and 11228003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11228023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6847 + ... + 8326.

It is an arithmetic number, because the mean of its divisors is an integer number (1009071).

Almost surely, 2^11228020 is an apocalyptic number.

11228020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11228020 is an abundant number, since it is smaller than the sum of its proper divisors (12989684).

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

11228020 is a wasteful number, since it uses less digits than its factorization.

11228020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15219 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11228020 is about 3350.8237793116. The cubic root of 11228020 is about 223.9242143709.

The spelling of 11228020 in words is "eleven million, two hundred twenty-eight thousand, twenty".