10214442 has 72 divisors (see below), whose sum is σ = 26524836. Its totient is φ = 2830464.

The previous prime is 10214437. The next prime is 10214443. The reversal of 10214442 is 24441201.

10214442 is a `hidden beast` number, since 10 + 214 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10055241 + 159201 = 3171^2 + 399^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10214443) 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 35 ways as a sum of consecutive naturals, for example, 32478 + ... + 32790.

Almost surely, 2^10214442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262418).

10214442 is an abundant number, since it is smaller than the sum of its proper divisors (16310394).

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

10214442 is a wasteful number, since it uses less digits than its factorization.

10214442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10214442 is about 3196.0040675819. The cubic root of 10214442 is about 216.9725945272.

Adding to 10214442 its reverse (24441201), we get a palindrome (34655643).

The spelling of 10214442 in words is "ten million, two hundred fourteen thousand, four hundred forty-two".