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422311340 = 2251129371789
BaseRepresentation
bin11001001010111…
…111010110101100
31002102122122020202
4121022333112230
51331102430330
6105523333032
713315405253
oct3112772654
91072578222
10422311340
111a7424840
12b9521178
1369653a89
144013179a
152711e445
hex192bf5ac

422311340 has 96 divisors (see below), whose sum is σ = 1028462400. Its totient is φ = 144184320.

The previous prime is 422311339. The next prime is 422311343. The reversal of 422311340 is 43113224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (422311343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235166 + ... + 236954.

It is an arithmetic number, because the mean of its divisors is an integer number (10713150).

Almost surely, 2422311340 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 422311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514231200).

422311340 is an abundant number, since it is smaller than the sum of its proper divisors (606151060).

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

422311340 is a wasteful number, since it uses less digits than its factorization.

422311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 422311340 is about 20550.2150840326. The cubic root of 422311340 is about 750.2584827572.

Adding to 422311340 its reverse (43113224), we get a palindrome (465424564).

The spelling of 422311340 in words is "four hundred twenty-two million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 37 44 55 58 74 110 116 145 148 185 220 290 319 370 407 580 638 740 814 1073 1276 1595 1628 1789 2035 2146 3190 3578 4070 4292 5365 6380 7156 8140 8945 10730 11803 17890 19679 21460 23606 35780 39358 47212 51881 59015 66193 78716 98395 103762 118030 132386 196790 207524 236060 259405 264772 330965 393580 518810 570691 661930 728123 1037620 1141382 1323860 1456246 1919597 2282764 2853455 2912492 3640615 3839194 5706910 7281230 7678388 9597985 11413820 14562460 19195970 21115567 38391940 42231134 84462268 105577835 211155670 422311340