10221520 has 40 divisors (see below), whose sum is σ = 24132384. Its totient is φ = 4025472.

The previous prime is 10221517. The next prime is 10221521. The reversal of 10221520 is 2512201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10221520² = 208958942220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4407 + ... + 6313.

Almost surely, 2^10221520 is an apocalyptic number.

10221520 is a gapful number since it is divisible by the number (10) 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 10221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066192).

10221520 is an abundant number, since it is smaller than the sum of its proper divisors (13910864).

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

10221520 is a wasteful number, since it uses less digits than its factorization.

10221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10221520 is about 3197.1111960643. Note that the first 4 decimals coincide. The cubic root of 10221520 is about 217.0226993180.

Adding to 10221520 its reverse (2512201), we get a palindrome (12733721).

The spelling of 10221520 in words is "ten million, two hundred twenty-one thousand, five hundred twenty".