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21952000000 = 2125673
BaseRepresentation
bin10100011100011100…
…001111000000000000
32002122212120010212001
4110130130033000000
5324424203000000
614030135313344
71404663631000
oct243434170000
962585503761
1021952000000
119345371567
12430781b854
1320bac17018
1410c3648000
158872eb46a
hex51c70f000

21952000000 has 364 divisors, whose sum is σ = 63991368400. Its totient is φ = 7526400000.

The previous prime is 21951999983. The next prime is 21952000039. The reversal of 21952000000 is 25912.

The cubic root of 21952000000 is 2800.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3135999997 + ... + 3136000003.

Almost surely, 221952000000 is an apocalyptic number.

21952000000 is a gapful number since it is divisible by the number (20) 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 21952000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31995684200).

21952000000 is an abundant number, since it is smaller than the sum of its proper divisors (42039368400).

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

21952000000 is an frugal number, since it uses more digits than its factorization.

21952000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 21952000000 its reverse (25912), we get a palindrome (21952025912).

The spelling of 21952000000 in words is "twenty-one billion, nine hundred fifty-two million", and thus it is an aban number.