21829050 has 72 divisors (see below), whose sum is σ = 59192640. Its totient is φ = 5767200.

The previous prime is 21828973. The next prime is 21829091. The reversal of 21829050 is 5092812.

It is a Curzon number.

It is an unprimeable number.

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, 80415 + ... + 80685.

It is an arithmetic number, because the mean of its divisors is an integer number (822120).

Almost surely, 2^21829050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21829050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29596320).

21829050 is an abundant number, since it is smaller than the sum of its proper divisors (37363590).

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

21829050 is a wasteful number, since it uses less digits than its factorization.

21829050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21829050 is about 4672.1568894891. The cubic root of 21829050 is about 279.4762744104.

The spelling of 21829050 in words is "twenty-one million, eight hundred twenty-nine thousand, fifty".