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2221120032 = 253109233911
BaseRepresentation
bin1000010001100011…
…1001101000100000
312201210102120212220
42010120321220200
514022101320112
61004222151040
7106020131415
oct20430715040
95653376786
102221120032
11a3a84539a
1251ba22480
13295217811
14170db810c
15ceede98c
hex84639a20

2221120032 has 96 divisors (see below), whose sum is σ = 5915669760. Its totient is φ = 729630720.

The previous prime is 2221120001. The next prime is 2221120043. The reversal of 2221120032 is 2300211222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2221119993 and 2221120020.

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 15 ways as a sum of consecutive naturals, for example, 2437657 + ... + 2438567.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560).

Almost surely, 22221120032 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 2221120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2221120032 is an abundant number, since it is smaller than the sum of its proper divisors (3694549728).

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

2221120032 is a wasteful number, since it uses less digits than its factorization.

2221120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2221120032 is about 47128.7601364602. The cubic root of 2221120032 is about 1304.7400982690.

Adding to 2221120032 its reverse (2300211222), we get a palindrome (4521331254).

The spelling of 2221120032 in words is "two billion, two hundred twenty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 233 327 436 466 654 699 872 911 932 1308 1398 1744 1822 1864 2616 2733 2796 3488 3644 3728 5232 5466 5592 7288 7456 10464 10932 11184 14576 21864 22368 25397 29152 43728 50794 76191 87456 99299 101588 152382 198598 203176 212263 297897 304764 397196 406352 424526 595794 609528 636789 794392 812704 849052 1191588 1219056 1273578 1588784 1698104 2383176 2438112 2547156 3177568 3396208 4766352 5094312 6792416 9532704 10188624 20377248 23136667 46273334 69410001 92546668 138820002 185093336 277640004 370186672 555280008 740373344 1110560016 2221120032