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2022020224 = 2772778147
BaseRepresentation
bin111100010000101…
…1001010010000000
312012220210021021221
41320201121102000
513120114121344
6532350524424
7101051613460
oct17041312200
95186707257
102022020224
119484177a4
12485206714
13262bb7193
1415278bba0
15bc7b2184
hex78859480

2022020224 has 64 divisors (see below), whose sum is σ = 4620893760. Its totient is φ = 863345664.

The previous prime is 2022020201. The next prime is 2022020233. The reversal of 2022020224 is 4220202202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022020198 and 2022020207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244119 + ... + 252265.

It is an arithmetic number, because the mean of its divisors is an integer number (72201465).

Almost surely, 22022020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310446880).

2022020224 is an abundant number, since it is smaller than the sum of its proper divisors (2598873536).

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

2022020224 is an equidigital number, since it uses as much as digits as its factorization.

2022020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2022020224 is about 44966.8791890209. The cubic root of 2022020224 is about 1264.5281401348.

Adding to 2022020224 its reverse (4220202202), we get a palindrome (6242222426).

The spelling of 2022020224 in words is "two billion, twenty-two million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 277 448 554 896 1108 1939 2216 3878 4432 7756 8147 8864 15512 16294 17728 31024 32588 35456 57029 62048 65176 114058 124096 130352 228116 248192 260704 456232 521408 912464 1042816 1824928 2256719 3649856 4513438 7299712 9026876 15797033 18053752 31594066 36107504 63188132 72215008 126376264 144430016 252752528 288860032 505505056 1011010112 2022020224