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20002220444400 = 24352103591160907
BaseRepresentation
bin1001000110001001000010…
…01111101000101011110000
32121211012020010121202202020
410203010201033220223300
510110204021413210100
6110312520533551440
74133053445340465
oct443044117505360
977735203552666
1020002220444400
116411991a90857
1222b06931a5580
13b21280322b6c
144d21810db66c
1524a484c905a0
hex1231213e8af0

20002220444400 has 120 divisors (see below), whose sum is σ = 64074796224384. Its totient is φ = 5333840812800.

The previous prime is 20002220444383. The next prime is 20002220444411. The reversal of 20002220444400 is 444402220002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 124228747 + ... + 124389653.

Almost surely, 220002220444400 is an apocalyptic number.

20002220444400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002220444400 is an abundant number, since it is smaller than the sum of its proper divisors (44072575779984).

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

20002220444400 is a wasteful number, since it uses less digits than its factorization.

20002220444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264519 (or 264508 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20002220444400 its reverse (444402220002), we get a palindrome (20446622664402).

The spelling of 20002220444400 in words is "twenty trillion, two billion, two hundred twenty million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 103591 160907 207182 310773 321814 414364 482721 517955 621546 643628 804535 828728 965442 1035910 1243092 1287256 1553865 1609070 1657456 1930884 2071820 2413605 2486184 2574512 2589775 3107730 3218140 3861768 4022675 4143640 4827210 4972368 5179550 6215460 6436280 7723536 7769325 8045350 8287280 9654420 10359100 12068025 12430920 12872560 15538650 16090700 19308840 20718200 24136050 24861840 31077300 32181400 38617680 41436400 48272100 62154600 64362800 96544200 124309200 193088400 16668517037 33337034074 50005551111 66674068148 83342585185 100011102222 133348136296 166685170370 200022204444 250027755555 266696272592 333370340740 400044408888 416712925925 500055511110 666740681480 800088817776 833425851850 1000111022220 1250138777775 1333481362960 1666851703700 2000222044440 2500277555550 3333703407400 4000444088880 5000555111100 6667406814800 10001110222200 20002220444400