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422214312 = 2331317233461
BaseRepresentation
bin11001001010100…
…111101010101000
31002102110201011010
4121022213222220
51331041324222
6105521303520
713314522342
oct3112475250
91072421133
10422214312
111a7368953
12b9494ba0
136961b870
1440108292
152710080c
hex192a7aa8

422214312 has 128 divisors (see below), whose sum is σ = 1256290560. Its totient is φ = 116920320.

The previous prime is 422214263. The next prime is 422214313. The reversal of 422214312 is 213412224.

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

It is not an unprimeable number, because it can be changed into a prime (422214313) 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, 120262 + ... + 123722.

It is an arithmetic number, because the mean of its divisors is an integer number (9814770).

Almost surely, 2422214312 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 422214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628145280).

422214312 is an abundant number, since it is smaller than the sum of its proper divisors (834076248).

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

422214312 is a wasteful number, since it uses less digits than its factorization.

422214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3519 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 422214312 is about 20547.8541945382. The cubic root of 422214312 is about 750.2010198943.

Adding to 422214312 its reverse (213412224), we get a palindrome (635626536).

The spelling of 422214312 in words is "four hundred twenty-two million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 23 24 26 34 39 46 51 52 68 69 78 92 102 104 136 138 156 184 204 221 276 299 312 391 408 442 552 598 663 782 884 897 1173 1196 1326 1564 1768 1794 2346 2392 2652 3128 3461 3588 4692 5083 5304 6922 7176 9384 10166 10383 13844 15249 20332 20766 27688 30498 40664 41532 44993 58837 60996 79603 83064 89986 117674 121992 134979 159206 176511 179972 235348 238809 269958 318412 353022 359944 470696 477618 539916 636824 706044 764881 955236 1034839 1079832 1353251 1412088 1529762 1910472 2069678 2294643 2706502 3059524 3104517 4059753 4139356 4589286 5413004 6119048 6209034 8119506 8278712 9178572 10826008 12418068 16239012 17592263 18357144 24836136 32478024 35184526 52776789 70369052 105553578 140738104 211107156 422214312