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20220220112000 = 27532969425653
BaseRepresentation
bin1001001100011111000110…
…00010010111110010000000
32122121000220220110022022012
410212033203002113302000
510122242002322041000
6111001012455232052
74154601622053506
oct446174302276200
978530826408265
1020220220112000
1164963901276a7
122326992978628
13b389b278720c
144dc941960676
15250e93554735
hex1263e3097c80

20220220112000 has 128 divisors (see below), whose sum is σ = 50289572876400. Its totient is φ = 8085344870400.

The previous prime is 20220220111957. The next prime is 20220220112003. The reversal of 20220220112000 is 21102202202.

It can be written as a sum of positive squares in 8 ways, for example, as 13468995136 + 20206751116864 = 116056^2 + 4495192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20220220112003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47291174 + ... + 47716826.

Almost surely, 220220220112000 is an apocalyptic number.

20220220112000 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 20220220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25144786438200).

20220220112000 is an abundant number, since it is smaller than the sum of its proper divisors (30069352764400).

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

20220220112000 is an equidigital number, since it uses as much as digits as its factorization.

20220220112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428651 (or 428629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20220220112000 its reverse (21102202202), we get a palindrome (20241322314202).

The spelling of 20220220112000 in words is "twenty trillion, two hundred twenty billion, two hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 2969 3200 4000 5938 8000 11876 14845 16000 23752 29690 47504 59380 74225 95008 118760 148450 190016 237520 296900 371125 380032 425653 475040 593800 742250 851306 950080 1187600 1484500 1702612 1900160 2128265 2375200 2969000 3405224 4256530 4750400 5938000 6810448 8513060 9500800 10641325 11876000 13620896 17026120 21282650 23752000 27241792 34052240 42565300 47504000 53206625 54483584 68104480 85130600 106413250 136208960 170261200 212826500 272417920 340522400 425653000 681044800 851306000 1263763757 1362089600 1702612000 2527527514 3405224000 5055055028 6318818785 6810448000 10110110056 12637637570 20220220112 25275275140 31594093925 40440440224 50550550280 63188187850 80880880448 101101100560 126376375700 157970469625 161761760896 202202201120 252752751400 315940939250 404404402240 505505502800 631881878500 808808804480 1011011005600 1263763757000 2022022011200 2527527514000 4044044022400 5055055028000 10110110056000 20220220112000