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22014424003300 = 2252738273646523
BaseRepresentation
bin1010000000101101000011…
…11011000011001011100100
32212221120002001121122101021
411000112201323003023210
510341141020021101200
6114453141535340524
74431326643361501
oct500264173031344
985846061548337
1022014424003300
1170182a0487003
122576662081744
13c38c49c50bb1
1456170a6364a8
152829a42ec41a
hex1405a1ec32e4

22014424003300 has 72 divisors (see below), whose sum is σ = 48484270620576. Its totient is φ = 8674638255360.

The previous prime is 22014424003249. The next prime is 22014424003361. The reversal of 22014424003300 is 330042441022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4213839 + ... + 7860361.

It is an arithmetic number, because the mean of its divisors is an integer number (673392647508).

Almost surely, 222014424003300 is an apocalyptic number.

22014424003300 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 22014424003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24242135310288).

22014424003300 is an abundant number, since it is smaller than the sum of its proper divisors (26469846617276).

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

22014424003300 is a wasteful number, since it uses less digits than its factorization.

22014424003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647437 (or 3647430 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22014424003300 its reverse (330042441022), we get a palindrome (22344466444322).

The spelling of 22014424003300 in words is "twenty-two trillion, fourteen billion, four hundred twenty-four million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 827 1460 1654 1825 3308 3650 4135 7300 8270 16540 20675 41350 60371 82700 120742 241484 301855 603710 1207420 1509275 3018550 3646523 6037100 7293046 14586092 18232615 36465230 72930460 91163075 182326150 266196179 364652300 532392358 1064784716 1330980895 2661961790 3015674521 5323923580 6031349042 6654904475 12062698084 13309808950 15078372605 26619617900 30156745210 60313490420 75391863025 150783726050 220144240033 301567452100 440288480066 880576960132 1100721200165 2201442400330 4402884800660 5503606000825 11007212001650 22014424003300