10221890 has 48 divisors (see below), whose sum is σ = 22358592. Its totient is φ = 3348576.

The previous prime is 10221877. The next prime is 10221899. The reversal of 10221890 is 9812201.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10817 + ... + 11723.

It is an arithmetic number, because the mean of its divisors is an integer number (465804).

Almost surely, 2^10221890 is an apocalyptic number.

10221890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10221890 is an abundant number, since it is smaller than the sum of its proper divisors (12136702).

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

10221890 is a wasteful number, since it uses less digits than its factorization.

10221890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10221890 is about 3197.1690602782. The cubic root of 10221890 is about 217.0253178923.

It can be divided in two parts, 10221 and 890, that added together give a palindrome (11111).

The spelling of 10221890 in words is "ten million, two hundred twenty-one thousand, eight hundred ninety".