[go: up one dir, main page]

Search a number
-
+
422354244 = 2231323532221
BaseRepresentation
bin11001001011001…
…001110101000100
31002102201211002210
4121023021311010
51331110313434
6105524303420
713315644324
oct3113116504
91072654083
10422354244
111a7453aa4
12b9541b70
136966a470
1440143284
152712bee9
hex192c9d44

422354244 has 96 divisors (see below), whose sum is σ = 1128847104. Its totient is φ = 121904640.

The previous prime is 422354237. The next prime is 422354279. The reversal of 422354244 is 442453224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189054 + ... + 191274.

It is an arithmetic number, because the mean of its divisors is an integer number (11758824).

Almost surely, 2422354244 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 422354244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564423552).

422354244 is an abundant number, since it is smaller than the sum of its proper divisors (706492860).

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

422354244 is a wasteful number, since it uses less digits than its factorization.

422354244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2315 counting only the distinct ones).

The product of its digits is 30720, while the sum is 30.

The square root of 422354244 is about 20551.2589395394. The cubic root of 422354244 is about 750.2838889736.

The spelling of 422354244 in words is "four hundred twenty-two million, three hundred fifty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 53 69 78 92 106 138 156 159 212 276 299 318 598 636 689 897 1196 1219 1378 1794 2067 2221 2438 2756 3588 3657 4134 4442 4876 6663 7314 8268 8884 13326 14628 15847 26652 28873 31694 47541 51083 57746 63388 86619 95082 102166 115492 117713 153249 173238 190164 204332 235426 306498 346476 353139 470852 612996 664079 706278 1328158 1412556 1530269 1992237 2656316 2707399 3060538 3984474 4590807 5414798 6121076 7968948 8122197 9181614 10829596 16244394 18363228 32488788 35196187 70392374 105588561 140784748 211177122 422354244