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2226012732 = 223361714759
BaseRepresentation
bin1000010010101110…
…0100001000111100
312202010122011102000
42010223210020330
514024324401412
61004515102300
7106106540016
oct20453441074
95663564360
102226012732
11a42587349
125215a1990
1329623b7c8
141718cd1b6
15d06594dc
hex84ae423c

2226012732 has 96 divisors (see below), whose sum is σ = 5949619200. Its totient is φ = 719409600.

The previous prime is 2226012683. The next prime is 2226012743. The reversal of 2226012732 is 2372106222.

2226012732 is a `hidden beast` number, since 2 + 2 + 2 + 601 + 27 + 32 = 666.

It is a super-2 number, since 2×22260127322 = 9910265366052207648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2226012696 and 2226012705.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 465369 + ... + 470127.

It is an arithmetic number, because the mean of its divisors is an integer number (61975200).

Almost surely, 22226012732 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 2226012732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974809600).

2226012732 is an abundant number, since it is smaller than the sum of its proper divisors (3723606468).

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

2226012732 is a wasteful number, since it uses less digits than its factorization.

2226012732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2226012732 is about 47180.6393767613. The cubic root of 2226012732 is about 1305.6974261275.

Adding to 2226012732 its reverse (2372106222), we get a palindrome (4598118954).

The spelling of 2226012732 in words is "two billion, two hundred twenty-six million, twelve thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 71 108 122 142 183 213 244 284 366 426 549 639 732 852 1098 1278 1647 1917 2196 2556 3294 3834 4331 4759 6588 7668 8662 9518 12993 14277 17324 19036 25986 28554 38979 42831 51972 57108 77958 85662 116937 128493 155916 171324 233874 256986 290299 337889 467748 513972 580598 675778 870897 1013667 1161196 1351556 1741794 2027334 2612691 3041001 3483588 4054668 5225382 6082002 7838073 9123003 10450764 12164004 15676146 18246006 20611229 31352292 36492012 41222458 61833687 82444916 123667374 185501061 247334748 371002122 556503183 742004244 1113006366 2226012732