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422204244 = 2237111924049
BaseRepresentation
bin11001001010100…
…101001101010100
31002102110012100020
4121022211031110
51331041013434
6105521145140
713314451110
oct3112451524
91072405306
10422204244
111a7361330
12b948b1b0
13696170c7
1440104740
15270ec849
hex192a5354

422204244 has 96 divisors (see below), whose sum is σ = 1292928000. Its totient is φ = 103887360.

The previous prime is 422204239. The next prime is 422204249. The reversal of 422204244 is 442402224.

It is an interprime number because it is at equal distance from previous prime (422204239) and next prime (422204249).

It is a super-2 number, since 2×4222042442 = 356512847303223072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422204249) by changing a digit.

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, 5532 + ... + 29580.

It is an arithmetic number, because the mean of its divisors is an integer number (13468000).

Almost surely, 2422204244 is an apocalyptic number.

422204244 is a gapful number since it is divisible by the number (44) 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 422204244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646464000).

422204244 is an abundant number, since it is smaller than the sum of its proper divisors (870723756).

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

422204244 is a wasteful number, since it uses less digits than its factorization.

422204244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24093 (or 24091 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 422204244 is about 20547.6092039926. The cubic root of 422204244 is about 750.1950568216.

Adding to 422204244 its reverse (442402224), we get a palindrome (864606468).

It can be divided in two parts, 42220 and 4244, that added together give a palindrome (46464).

The spelling of 422204244 in words is "four hundred twenty-two million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 24049 48098 72147 96196 144294 168343 264539 288588 336686 456931 505029 529078 673372 793617 913862 1010058 1058156 1370793 1587234 1827724 1851773 2020116 2741586 3174468 3198517 3703546 5026241 5483172 5555319 6397034 7407092 9595551 10052482 11110638 12794068 15078723 19191102 20104964 22221276 30157446 35183687 38382204 60314892 70367374 105551061 140734748 211102122 422204244