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5440322700 = 22325223332591
BaseRepresentation
bin1010001000100010…
…01011110010001100
3112001010221000202100
411010101023302030
542120210311300
62255500555100
7251546660061
oct50421136214
915033830670
105440322700
112341a13a6a
121079b52a90
1368914a877
14398760c68
1521c932700
hex14444bc8c

5440322700 has 108 divisors (see below), whose sum is σ = 17066282688. Its totient is φ = 1449571200.

The previous prime is 5440322663. The next prime is 5440322707. The reversal of 5440322700 is 72230445.

It is a super-2 number, since 2×54403227002 = 59194222160270580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5440322707) 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 35 ways as a sum of consecutive naturals, for example, 2098405 + ... + 2100995.

It is an arithmetic number, because the mean of its divisors is an integer number (158021136).

Almost surely, 25440322700 is an apocalyptic number.

5440322700 is a gapful number since it is divisible by the number (50) 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 5440322700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533141344).

5440322700 is an abundant number, since it is smaller than the sum of its proper divisors (11625959988).

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

5440322700 is a wasteful number, since it uses less digits than its factorization.

5440322700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5440322700 is about 73758.5432339875. The cubic root of 5440322700 is about 1758.7666440809.

The spelling of 5440322700 in words is "five billion, four hundred forty million, three hundred twenty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2333 2591 4666 5182 6999 7773 9332 10364 11665 12955 13998 15546 20997 23319 23330 25910 27996 31092 34995 38865 41994 46638 46660 51820 58325 64775 69990 77730 83988 93276 104985 116595 116650 129550 139980 155460 174975 194325 209970 233190 233300 259100 349950 388650 419940 466380 524925 582975 699900 777300 1049850 1165950 2099700 2331900 6044803 12089606 18134409 24179212 30224015 36268818 54403227 60448030 72537636 90672045 108806454 120896060 151120075 181344090 217612908 272016135 302240150 362688180 453360225 544032270 604480300 906720450 1088064540 1360080675 1813440900 2720161350 5440322700