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1133022228 = 22313232910889
BaseRepresentation
bin100001110001000…
…1000110000010100
32220221222111022020
41003202020300110
54310023202403
6304232333140
740035346542
oct10342106024
92827874266
101133022228
1153161a408
122775441b0
13150973470
14aa696d92
156970a453
hex43888c14

1133022228 has 96 divisors (see below), whose sum is σ = 3073593600. Its totient is φ = 321936384.

The previous prime is 1133022211. The next prime is 1133022229. The reversal of 1133022228 is 8222203311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1133022198 and 1133022207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133022229) 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, 98608 + ... + 109496.

It is an arithmetic number, because the mean of its divisors is an integer number (32016600).

Almost surely, 21133022228 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 1133022228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

1133022228 is an abundant number, since it is smaller than the sum of its proper divisors (1940571372).

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

1133022228 is a wasteful number, since it uses less digits than its factorization.

1133022228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1133022228 is about 33660.3955413480. The cubic root of 1133022228 is about 1042.5081928633.

Adding to 1133022228 its reverse (8222203311), we get a palindrome (9355225539).

The spelling of 1133022228 in words is "one billion, one hundred thirty-three million, twenty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 29 39 46 52 58 69 78 87 92 116 138 156 174 276 299 348 377 598 667 754 897 1131 1196 1334 1508 1794 2001 2262 2668 3588 4002 4524 8004 8671 10889 17342 21778 26013 32667 34684 43556 52026 65334 104052 130668 141557 250447 283114 315781 424671 500894 566228 631562 751341 849342 947343 1001788 1263124 1502682 1698684 1894686 3005364 3255811 3789372 4105153 6511622 7262963 8210306 9767433 12315459 13023244 14525926 16420612 19534866 21788889 24630918 29051852 39069732 43577778 49261836 87155556 94418519 188837038 283255557 377674076 566511114 1133022228