82222720 has 32 divisors (see below), whose sum is σ = 196565220. Its totient is φ = 32888832.

The previous prime is 82222711. The next prime is 82222783. The reversal of 82222720 is 2722228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77862976 + 4359744 = 8824^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63597 + ... + 64876.

Almost surely, 2^82222720 is an apocalyptic number.

82222720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82222720 is an abundant number, since it is smaller than the sum of its proper divisors (114342500).

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

82222720 is a wasteful number, since it uses less digits than its factorization.

82222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128492 (or 128480 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 82222720 is about 9067.6744537946. The cubic root of 82222720 is about 434.8411275205.

Adding to 82222720 its reverse (2722228), we get a palindrome (84944948).

The spelling of 82222720 in words is "eighty-two million, two hundred twenty-two thousand, seven hundred twenty".