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1122444304 = 24192296701
BaseRepresentation
bin100001011100111…
…0010010000010000
32220020002002010021
41002321302100100
54244321204204
6303213513224
736546422242
oct10271622020
92806062107
101122444304
11526655023
12273aa2814
1314b70b837
14a9102092
156881b154
hex42e72410

1122444304 has 60 divisors (see below), whose sum is σ = 2374719660. Its totient is φ = 513273600.

The previous prime is 1122444293. The next prime is 1122444317. The reversal of 1122444304 is 4034442211.

It can be written as a sum of positive squares in 2 ways, for example, as 519840000 + 602604304 = 22800^2 + 24548^2 .

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 11 ways as a sum of consecutive naturals, for example, 164154 + ... + 170854.

It is an arithmetic number, because the mean of its divisors is an integer number (39578661).

Almost surely, 21122444304 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 1122444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187359830).

1122444304 is an abundant number, since it is smaller than the sum of its proper divisors (1252275356).

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

1122444304 is a wasteful number, since it uses less digits than its factorization.

1122444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1122444304 is about 33502.8999341848. The cubic root of 1122444304 is about 1039.2537496672.

Adding to 1122444304 its reverse (4034442211), we get a palindrome (5156886515).

The spelling of 1122444304 in words is "one billion, one hundred twenty-two million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 361 464 551 722 1102 1444 2204 2888 4408 5776 6701 8816 10469 13402 20938 26804 41876 53608 83752 107216 127319 167504 194329 254638 388658 509276 777316 1018552 1554632 2037104 2419061 3109264 3692251 4838122 7384502 9676244 14769004 19352488 29538008 38704976 59076016 70152769 140305538 280611076 561222152 1122444304