11224416 has 48 divisors (see below), whose sum is σ = 33675264. Its totient is φ = 3206784.

The previous prime is 11224373. The next prime is 11224439. The reversal of 11224416 is 61442211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11224392 and 11224401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7680 + ... + 9023.

It is an arithmetic number, because the mean of its divisors is an integer number (701568).

Almost surely, 2^11224416 is an apocalyptic number.

11224416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11224416 is an abundant number, since it is smaller than the sum of its proper divisors (22450848).

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

11224416 is a wasteful number, since it uses less digits than its factorization.

11224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16723 (or 16715 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 11224416 is about 3350.2859579445. The cubic root of 11224416 is about 223.9002532086.

Adding to 11224416 its reverse (61442211), we get a palindrome (72666627).

The spelling of 11224416 in words is "eleven million, two hundred twenty-four thousand, four hundred sixteen".