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2224144032 = 253112106197
BaseRepresentation
bin1000010010010001…
…1011111010100000
312202000010020000220
42010210123322200
514023340102112
61004411043040
7106054624635
oct20444337240
95660106026
102224144032
11a41520370
12520a40480
13295a36076
1417156418c
15d03da98c
hex8491bea0

2224144032 has 48 divisors (see below), whose sum is σ = 6369142752. Its totient is φ = 673982720.

The previous prime is 2224143989. The next prime is 2224144033. The reversal of 2224144032 is 2304414222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2224143993 and 2224144011.

It is not an unprimeable number, because it can be changed into a prime (2224144033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1052043 + ... + 1054154.

It is an arithmetic number, because the mean of its divisors is an integer number (132690474).

Almost surely, 22224144032 is an apocalyptic number.

2224144032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2224144032 is an abundant number, since it is smaller than the sum of its proper divisors (4144998720).

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

2224144032 is a wasteful number, since it uses less digits than its factorization.

2224144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106221 (or 2106213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2224144032 is about 47160.8315448318. The cubic root of 2224144032 is about 1305.3319535449.

Adding to 2224144032 its reverse (2304414222), we get a palindrome (4528558254).

The spelling of 2224144032 in words is "two billion, two hundred twenty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2106197 4212394 6318591 8424788 12637182 16849576 23168167 25274364 33699152 46336334 50548728 67398304 69504501 92672668 101097456 139009002 185345336 202194912 278018004 370690672 556036008 741381344 1112072016 2224144032