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20022224000 = 27531796991
BaseRepresentation
bin10010101001011010…
…101110010010000000
31220200101100100211212
4102221122232102000
5312001142132000
613110441425252
71306112044622
oct225132562200
956611310755
1020022224000
118545029269
123a6949b228
131b7118942c
14d7d22cc12
157c2baac35
hex4a96ae480

20022224000 has 128 divisors (see below), whose sum is σ = 50065516800. Its totient is φ = 7963008000.

The previous prime is 20022223961. The next prime is 20022224021. The reversal of 20022224000 is 42222002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2860505 + ... + 2867495.

It is an arithmetic number, because the mean of its divisors is an integer number (391136850).

Almost surely, 220022224000 is an apocalyptic number.

20022224000 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 20022224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032758400).

20022224000 is an abundant number, since it is smaller than the sum of its proper divisors (30043292800).

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

20022224000 is an equidigital number, since it uses as much as digits as its factorization.

20022224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20022224000 its reverse (42222002), we get a palindrome (20064446002).

The spelling of 20022224000 in words is "twenty billion, twenty-two million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 179 200 250 320 358 400 500 640 716 800 895 1000 1432 1600 1790 2000 2864 3200 3580 4000 4475 5728 6991 7160 8000 8950 11456 13982 14320 16000 17900 22375 22912 27964 28640 34955 35800 44750 55928 57280 69910 71600 89500 111856 114560 139820 143200 174775 179000 223712 279640 286400 349550 358000 447424 559280 572800 699100 716000 873875 894848 1118560 1251389 1398200 1432000 1747750 2237120 2502778 2796400 2864000 3495500 4474240 5005556 5592800 6256945 6991000 10011112 11185600 12513890 13982000 20022224 22371200 25027780 27964000 31284725 40044448 50055560 55928000 62569450 80088896 100111120 111856000 125138900 156423625 160177792 200222240 250277800 312847250 400444480 500555600 625694500 800888960 1001111200 1251389000 2002222400 2502778000 4004444800 5005556000 10011112000 20022224000