21854300224 has 63 divisors (see below), whose sum is σ = 46110613773. Its totient is φ = 10274915328.

The previous prime is 21854300219. The next prime is 21854300227. The reversal of 21854300224 is 42200345812.

The square root of 21854300224 is 147832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17014593600 + 4839706624 = 130440^2 + 69568^2 .

It is a super-2 number, since 2×21854300224² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21854300227) 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 8 ways as a sum of consecutive naturals, for example, 20104609 + ... + 20105695.

Almost surely, 2^21854300224 is an apocalyptic number.

21854300224 is the 147832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21854300224

21854300224 is an abundant number, since it is smaller than the sum of its proper divisors (24256313549).

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

21854300224 is an frugal number, since it uses more digits than its factorization.

21854300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 21854300224 in words is "twenty-one billion, eight hundred fifty-four million, three hundred thousand, two hundred twenty-four".