10214292 has 48 divisors (see below), whose sum is σ = 26191872. Its totient is φ = 3072480.

The previous prime is 10214291. The next prime is 10214311. The reversal of 10214292 is 29241201.

It is a super-2 number, since 2×10214292² = 208663522122528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29263 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (545664).

Almost surely, 2^10214292 is an apocalyptic number.

10214292 is a gapful number since it is divisible by the number (12) 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 10214292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095936).

10214292 is an abundant number, since it is smaller than the sum of its proper divisors (15977580).

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

10214292 is a wasteful number, since it uses less digits than its factorization.

10214292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10214292 is about 3195.9806006921. The cubic root of 10214292 is about 216.9715324347.

Adding to 10214292 its reverse (29241201), we get a palindrome (39455493).

The spelling of 10214292 in words is "ten million, two hundred fourteen thousand, two hundred ninety-two".