21829700 has 36 divisors (see below), whose sum is σ = 50160852. Its totient is φ = 8217600.

The previous prime is 21829699. The next prime is 21829723. The reversal of 21829700 is 792812.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2116 + 21827584 = 46^2 + 4672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4721 + ... + 8120.

It is an arithmetic number, because the mean of its divisors is an integer number (1393357).

Almost surely, 2^21829700 is an apocalyptic number.

21829700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21829700 is an abundant number, since it is smaller than the sum of its proper divisors (28331152).

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

21829700 is a wasteful number, since it uses less digits than its factorization.

21829700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 21829700 is about 4672.2264499915. The cubic root of 21829700 is about 279.4790483557.

The spelling of 21829700 in words is "twenty-one million, eight hundred twenty-nine thousand, seven hundred".