[go: up one dir, main page]

Search a number
-
+
2242441212 = 2231122383809
BaseRepresentation
bin1000010110101000…
…1110111111111100
312210021112211001020
42011222032333330
514043031104322
61010303144140
7106366302324
oct20552167774
95707484036
102242441212
11a50888300
12526ba5050
132997713bb
14173b68284
15d1d0205c
hex85a8effc

2242441212 has 144 divisors (see below), whose sum is σ = 6081143040. Its totient is φ = 641358080.

The previous prime is 2242441171. The next prime is 2242441231. The reversal of 2242441212 is 2121442422.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771464 + ... + 2772272.

It is an arithmetic number, because the mean of its divisors is an integer number (42230160).

Almost surely, 22242441212 is an apocalyptic number.

2242441212 is a gapful number since it is divisible by the number (22) 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 2242441212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040571520).

2242441212 is an abundant number, since it is smaller than the sum of its proper divisors (3838701828).

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

2242441212 is a wasteful number, since it uses less digits than its factorization.

2242441212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 2242441212 is about 47354.4212508188. The cubic root of 2242441212 is about 1308.9016709323.

Adding to 2242441212 its reverse (2121442422), we get a palindrome (4363883634).

It can be divided in two parts, 224244 and 1212, that added together give a triangular number (225456 = T671).

The spelling of 2242441212 in words is "two billion, two hundred forty-two million, four hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 83 92 121 132 138 166 242 249 253 276 332 363 484 498 506 726 759 809 913 996 1012 1452 1518 1618 1826 1909 2427 2739 2783 3036 3236 3652 3818 4854 5478 5566 5727 7636 8349 8899 9708 10043 10956 11132 11454 16698 17798 18607 20086 20999 22908 26697 30129 33396 35596 37214 40172 41998 53394 55821 60258 62997 67147 74428 83996 97889 106788 111642 120516 125994 134294 195778 201441 204677 223284 230989 251988 268588 293667 391556 402882 409354 461978 587334 614031 692967 738617 805764 818708 923956 1174668 1228062 1385934 1477234 1544381 2215851 2251447 2456124 2771868 2954468 3088762 4431702 4502894 4633143 6177524 6754341 8124787 8863404 9005788 9266286 13508682 16249574 16988191 18532572 24374361 27017364 32499148 33976382 48748722 50964573 67952764 97497444 101929146 186870101 203858292 373740202 560610303 747480404 1121220606 2242441212