10222560 has 144 divisors (see below), whose sum is σ = 36167040. Its totient is φ = 2626560.

The previous prime is 10222523. The next prime is 10222561. The reversal of 10222560 is 6522201.

10222560 is a `hidden beast` number, since 102 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44526 + ... + 44754.

It is an arithmetic number, because the mean of its divisors is an integer number (251160).

Almost surely, 2^10222560 is an apocalyptic number.

10222560 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 10222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520).

10222560 is an abundant number, since it is smaller than the sum of its proper divisors (25944480).

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

10222560 is a wasteful number, since it uses less digits than its factorization.

10222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10222560 is about 3197.2738387570. The cubic root of 10222560 is about 217.0300594742.

Adding to 10222560 its reverse (6522201), we get a palindrome (16744761).

The spelling of 10222560 in words is "ten million, two hundred twenty-two thousand, five hundred sixty".