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2221020032 = 27711225347
BaseRepresentation
bin1000010001100010…
…0001001110000000
312201210020111201012
42010120201032000
514022040120112
61004220100052
7106016234030
oct20430411600
95653214635
102221020032
11a3a787250
1251b994628
132951b114a
14170d8d8c0
15ceec0022
hex84621380

2221020032 has 64 divisors (see below), whose sum is σ = 5516519040. Its totient is φ = 865328640.

The previous prime is 2221020031. The next prime is 2221020059. The reversal of 2221020032 is 2300201222.

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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 2221019989 and 2221020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221020031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102818 + ... + 122529.

It is an arithmetic number, because the mean of its divisors is an integer number (86195610).

Almost surely, 22221020032 is an apocalyptic number.

2221020032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2221020032 is an abundant number, since it is smaller than the sum of its proper divisors (3295499008).

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

2221020032 is a wasteful number, since it uses less digits than its factorization.

2221020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225379 (or 225367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2221020032 is about 47127.6992012129. The cubic root of 2221020032 is about 1304.7205171618.

Adding to 2221020032 its reverse (2300201222), we get a palindrome (4521221254).

The spelling of 2221020032 in words is "two billion, two hundred twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 225347 450694 901388 1577429 1802776 2478817 3154858 3605552 4957634 6309716 7211104 9915268 12619432 14422208 17351719 19830536 25238864 28844416 34703438 39661072 50477728 69406876 79322144 100955456 138813752 158644288 201910912 277627504 317288576 555255008 1110510016 2221020032