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1133300224 = 2972199227
BaseRepresentation
bin100001110001100…
…1100101000000000
32220222111121122101
41003203030220000
54310111101344
6304242320144
740040615200
oct10343145000
92828447571
101133300224
1153179a261
12277659054
13150a3cb64
14aa72a400
15697629d4
hex438cca00

1133300224 has 120 divisors (see below), whose sum is σ = 2658981600. Its totient is φ = 481130496.

The previous prime is 1133300209. The next prime is 1133300227. The reversal of 1133300224 is 4220033311.

It is not an unprimeable number, because it can be changed into a prime (1133300227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4992399 + ... + 4992625.

It is an arithmetic number, because the mean of its divisors is an integer number (22158180).

Almost surely, 21133300224 is an apocalyptic number.

1133300224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329490800).

1133300224 is an abundant number, since it is smaller than the sum of its proper divisors (1525681376).

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

1133300224 is an equidigital number, since it uses as much as digits as its factorization.

1133300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1133300224 is about 33664.5247107396. The cubic root of 1133300224 is about 1042.5934484452.

Adding to 1133300224 its reverse (4220033311), we get a palindrome (5353333535).

The spelling of 1133300224 in words is "one billion, one hundred thirty-three million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 199 224 227 256 392 398 448 454 512 784 796 896 908 1393 1568 1589 1592 1792 1816 2786 3136 3178 3184 3584 3632 5572 6272 6356 6368 7264 9751 11123 11144 12544 12712 12736 14528 19502 22246 22288 25088 25424 25472 29056 39004 44492 44576 45173 50848 50944 58112 78008 88984 89152 90346 101696 101888 116224 156016 177968 178304 180692 203392 312032 316211 355936 356608 361384 406784 624064 632422 711872 713216 722768 813568 1248128 1264844 1423744 1445536 2213477 2496256 2529688 2847488 2891072 4426954 4992512 5059376 5694976 5782144 8853908 10118752 11564288 17707816 20237504 23128576 35415632 40475008 70831264 80950016 141662528 161900032 283325056 566650112 1133300224