Search a number
-
+
2241423232 = 27234797167
BaseRepresentation
bin1000010110011001…
…0110011110000000
312210012122002122021
42011212112132000
514042301020412
61010225251224
7106354532416
oct20546263600
95705562567
102241423232
11a502524a4
12526793b14
132994a5c49
141739812b6
15d1ba0607
hex85996780

2241423232 has 128 divisors (see below), whose sum is σ = 4836464640. Its totient is φ = 1032142848.

The previous prime is 2241423229. The next prime is 2241423257. The reversal of 2241423232 is 2323241422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2241423197 and 2241423206.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13421613 + ... + 13421779.

It is an arithmetic number, because the mean of its divisors is an integer number (37784880).

Almost surely, 22241423232 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 2241423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418232320).

2241423232 is an abundant number, since it is smaller than the sum of its proper divisors (2595041408).

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

2241423232 is a wasteful number, since it uses less digits than its factorization.

2241423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 2241423232 is about 47343.6715095059. The cubic root of 2241423232 is about 1308.7035776830.

Adding to 2241423232 its reverse (2323241422), we get a palindrome (4564664654).

The spelling of 2241423232 in words is "two billion, two hundred forty-one million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 97 128 167 184 188 194 334 368 376 388 668 736 752 776 1081 1336 1472 1504 1552 2162 2231 2672 2944 3008 3104 3841 4324 4462 4559 5344 6016 6208 7682 7849 8648 8924 9118 10688 12416 15364 15698 16199 17296 17848 18236 21376 30728 31396 32398 34592 35696 36472 61456 62792 64796 69184 71392 72944 104857 122912 125584 129592 138368 142784 145888 180527 209714 245824 251168 259184 285568 291776 361054 372577 419428 491648 502336 518368 583552 722108 745154 761353 838856 1004672 1036736 1444216 1490308 1522706 1677712 2073472 2888432 2980616 3045412 3355424 5776864 5961232 6090824 6710848 11553728 11922464 12181648 13421696 17511119 23107456 23844928 24363296 35022238 47689856 48726592 70044476 97453184 140088952 280177904 560355808 1120711616 2241423232