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11230022340 = 223251015571109
BaseRepresentation
bin10100111010101110…
…01000101011000100
31001222122021020120100
422131113020223010
5140444341203330
65054202204100
7545201420625
oct123527105304
931878236510
1011230022340
114843066aa9
122214ab3630
13109c793b44
14787669a4c
1545ad79060
hex29d5c8ac4

11230022340 has 144 divisors (see below), whose sum is σ = 34494510960. Its totient is φ = 2957030400.

The previous prime is 11230022269. The next prime is 11230022399. The reversal of 11230022340 is 4322003211.

11230022340 is a `hidden beast` number, since 1 + 1 + 2 + 300 + 22 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1314642564 + 9915379776 = 36258^2 + 99576^2 .

It is a super-2 number, since 2×112300223402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10125706 + ... + 10126814.

It is an arithmetic number, because the mean of its divisors is an integer number (239545215).

Almost surely, 211230022340 is an apocalyptic number.

11230022340 is a gapful number since it is divisible by the number (10) 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 11230022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247255480).

11230022340 is an abundant number, since it is smaller than the sum of its proper divisors (23264488620).

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

11230022340 is a wasteful number, since it uses less digits than its factorization.

11230022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11230022340 its reverse (4322003211), we get a palindrome (15552025551).

The spelling of 11230022340 in words is "eleven billion, two hundred thirty million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 557 606 909 1010 1109 1114 1212 1515 1671 1818 2020 2218 2228 2785 3030 3327 3342 3636 4436 4545 5013 5545 5570 6060 6654 6684 8355 9090 9981 10026 11090 11140 13308 16635 16710 18180 19962 20052 22180 25065 33270 33420 39924 49905 50130 56257 66540 99810 100260 112009 112514 168771 199620 224018 225028 281285 336027 337542 448036 506313 560045 562570 617713 672054 675084 843855 1008081 1012626 1120090 1125140 1235426 1344108 1680135 1687710 1853139 2016162 2025252 2240180 2470852 2531565 3088565 3360270 3375420 3706278 4032324 5040405 5063130 5559417 6177130 6720540 7412556 9265695 10080810 10126260 11118834 12354260 18531390 20161620 22237668 27797085 37062780 55594170 62389013 111188340 124778026 187167039 249556052 311945065 374334078 561501117 623890130 748668156 935835195 1123002234 1247780260 1871670390 2246004468 2807505585 3743340780 5615011170 11230022340