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21440232000 = 26325311223107
BaseRepresentation
bin10011111101111011…
…111111101001000000
32001100012120122010200
4103331323333221000
5322402144411000
613503254325200
71356210652005
oct237573775100
961305518120
1021440232000
1191024a7700
1241a4359800
132038ba1715
1410756ab8ac
1585740b500
hex4fdeffa40

21440232000 has 1008 divisors, whose sum is σ = 88788825216. Its totient is φ = 4925184000.

The previous prime is 21440231999. The next prime is 21440232043. The reversal of 21440232000 is 23204412.

21440232000 is a `hidden beast` number, since 2 + 1 + 440 + 23 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 200375947 + ... + 200376053.

It is an arithmetic number, because the mean of its divisors is an integer number (88084152).

Almost surely, 221440232000 is an apocalyptic number.

21440232000 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 21440232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44394412608).

21440232000 is an abundant number, since it is smaller than the sum of its proper divisors (67348593216).

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

21440232000 is a wasteful number, since it uses less digits than its factorization.

21440232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21440232000 its reverse (23204412), we get a palindrome (21463436412).

The spelling of 21440232000 in words is "twenty-one billion, four hundred forty million, two hundred thirty-two thousand".