7102224 has 120 divisors (see below), whose sum is σ = 21562112. Its totient is φ = 2177280.

The previous prime is 7102223. The next prime is 7102229. The reversal of 7102224 is 4222017.

It is a Cunningham number, because it is equal to 2665²-1.

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 = 7102197 and 7102206.

It is not an unprimeable number, because it can be changed into a prime (7102223) 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 23 ways as a sum of consecutive naturals, for example, 165147 + ... + 165189.

Almost surely, 2^7102224 is an apocalyptic number.

7102224 is a gapful number since it is divisible by the number (74) 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 7102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781056).

7102224 is an abundant number, since it is smaller than the sum of its proper divisors (14459888).

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

7102224 is a wasteful number, since it uses less digits than its factorization.

7102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7102224 is about 2664.9998123827. Note that the first 3 decimals coincide. The cubic root of 7102224 is about 192.2198003613.

The spelling of 7102224 in words is "seven million, one hundred two thousand, two hundred twenty-four".