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1133221224 = 2331723197613
BaseRepresentation
bin100001110001011…
…1001010101101000
32220222100121021110
41003202321111220
54310101034344
6304240510320
740040135652
oct10342712550
92828317243
101133221224
11531745973
1227761b3a0
13150a12c05
14aa7096d2
15697493b9
hex438b9568

1133221224 has 128 divisors (see below), whose sum is σ = 3151146240. Its totient is φ = 337784832.

The previous prime is 1133221223. The next prime is 1133221231. The reversal of 1133221224 is 4221223311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1133221224.

It is not an unprimeable number, because it can be changed into a prime (1133221223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848342 + ... + 1848954.

It is an arithmetic number, because the mean of its divisors is an integer number (24618330).

Almost surely, 21133221224 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 1133221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575573120).

1133221224 is an abundant number, since it is smaller than the sum of its proper divisors (2017925016).

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

1133221224 is a wasteful number, since it uses less digits than its factorization.

1133221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1133221224 is about 33663.3513483135. The cubic root of 1133221224 is about 1042.5692222091.

Adding to 1133221224 its reverse (4221223311), we get a palindrome (5354444535).

The spelling of 1133221224 in words is "one billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 197 204 276 391 394 408 552 591 613 782 788 1173 1182 1226 1564 1576 1839 2346 2364 2452 3128 3349 3678 4531 4692 4728 4904 6698 7356 9062 9384 10047 10421 13396 13593 14099 14712 18124 20094 20842 26792 27186 28198 31263 36248 40188 41684 42297 54372 56396 62526 77027 80376 83368 84594 108744 112792 120761 125052 154054 169188 231081 239683 241522 250104 308108 338376 362283 462162 479366 483044 616216 719049 724566 924324 958732 966088 1438098 1449132 1848648 1917464 2052937 2777503 2876196 2898264 4105874 5555006 5752392 6158811 8211748 8332509 11110012 12317622 16423496 16665018 22220024 24635244 33330036 47217551 49270488 66660072 94435102 141652653 188870204 283305306 377740408 566610612 1133221224