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2268207792 = 243346711243
BaseRepresentation
bin1000011100110010…
…0001101010110000
312212002000220011000
42013030201222300
514121130122132
61013023322000
7110131306464
oct20714415260
95762026130
102268207792
11a643870a4
12533750300
132a1bc34b6
141773544a4
15d41e187c
hex87321ab0

2268207792 has 80 divisors (see below), whose sum is σ = 6525118080. Its totient is φ = 754383168.

The previous prime is 2268207787. The next prime is 2268207797. The reversal of 2268207792 is 2977028622.

It is an interprime number because it is at equal distance from previous prime (2268207787) and next prime (2268207797).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2268207797) 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 15 ways as a sum of consecutive naturals, for example, 196123 + ... + 207365.

It is an arithmetic number, because the mean of its divisors is an integer number (81563976).

Almost surely, 22268207792 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 2268207792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262559040).

2268207792 is an abundant number, since it is smaller than the sum of its proper divisors (4256910288).

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

2268207792 is a wasteful number, since it uses less digits than its factorization.

2268207792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2268207792 is about 47625.7051601338. The cubic root of 2268207792 is about 1313.8958654783.

The spelling of 2268207792 in words is "two billion, two hundred sixty-eight million, two hundred seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 467 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 11243 12609 16812 22416 22486 25218 33624 33729 44972 50436 67248 67458 89944 100872 101187 134916 179888 201744 202374 269832 303561 404748 539664 607122 809496 1214244 1618992 2428488 4856976 5250481 10500962 15751443 21001924 31502886 42003848 47254329 63005772 84007696 94508658 126011544 141762987 189017316 252023088 283525974 378034632 567051948 756069264 1134103896 2268207792