8200224 has 48 divisors (see below), whose sum is σ = 23919840. Its totient is φ = 2733120.

The previous prime is 8200219. The next prime is 8200271. The reversal of 8200224 is 4220028.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 8200197 and 8200206.

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, 3882 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (498330).

Almost surely, 2^8200224 is an apocalyptic number.

It is an amenable number.

8200224 is an abundant number, since it is smaller than the sum of its proper divisors (15719616).

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

8200224 is a wasteful number, since it uses less digits than its factorization.

8200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8200224 is about 2863.6033244847. The cubic root of 8200224 is about 201.6548036947.

The spelling of 8200224 in words is "eight million, two hundred thousand, two hundred twenty-four".