10221464 has 32 divisors (see below), whose sum is σ = 21425040. Its totient is φ = 4531200.

The previous prime is 10221461. The next prime is 10221467. The reversal of 10221464 is 46412201.

10221464 = T₆₇ + T₆₈ + ... + T₃₉₄.

It is an interprime number because it is at equal distance from previous prime (10221461) and next prime (10221467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221461) 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, 2192 + ... + 5024.

Almost surely, 2^10221464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712520).

10221464 is an abundant number, since it is smaller than the sum of its proper divisors (11203576).

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

10221464 is a wasteful number, since it uses less digits than its factorization.

10221464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10221464 is about 3197.1024381461. The cubic root of 10221464 is about 217.0223029877.

Adding to 10221464 its reverse (46412201), we get a palindrome (56633665).

The spelling of 10221464 in words is "ten million, two hundred twenty-one thousand, four hundred sixty-four".