10222720 has 32 divisors (see below), whose sum is σ = 24440220. Its totient is φ = 4088832.

The previous prime is 10222717. The next prime is 10222757. The reversal of 10222720 is 2722201.

10222720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 33856 = 3192^2 + 184^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10222694 and 10222703.

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, 7347 + ... + 8626.

Almost surely, 2^10222720 is an apocalyptic number.

10222720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222720 is an abundant number, since it is smaller than the sum of its proper divisors (14217500).

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

10222720 is an equidigital number, since it uses as much as digits as its factorization.

10222720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15992 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10222720 is about 3197.2988599754. The cubic root of 10222720 is about 217.0311917617.

Adding to 10222720 its reverse (2722201), we get a palindrome (12944921).

It can be divided in two parts, 102 and 22720, that added together give a palindrome (22822).

The spelling of 10222720 in words is "ten million, two hundred twenty-two thousand, seven hundred twenty".