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2241225552 = 2431011313529
BaseRepresentation
bin1000010110010110…
…0110001101010000
312210012021001110210
42011211212031100
514042223204202
61010221124120
7106353050166
oct20545461520
95705231423
102241225552
11a50127a25
125266b9640
13299436c87
1417392d236
15d1b61c6c
hex85966350

2241225552 has 80 divisors (see below), whose sum is σ = 5893462080. Its totient is φ = 733824000.

The previous prime is 2241225551. The next prime is 2241225587. The reversal of 2241225552 is 2555221422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241225551) 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 15 ways as a sum of consecutive naturals, for example, 633324 + ... + 636852.

It is an arithmetic number, because the mean of its divisors is an integer number (73668276).

Almost surely, 22241225552 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 2241225552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946731040).

2241225552 is an abundant number, since it is smaller than the sum of its proper divisors (3652236528).

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

2241225552 is a wasteful number, since it uses less digits than its factorization.

2241225552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3766 counting only the distinct ones).

The product of its digits is 16000, while the sum is 30.

The square root of 2241225552 is about 47341.5837504408. The cubic root of 2241225552 is about 1308.6651032998.

Adding to 2241225552 its reverse (2555221422), we get a palindrome (4796446974).

The spelling of 2241225552 in words is "two billion, two hundred forty-one million, two hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 131 202 262 303 393 404 524 606 786 808 1048 1212 1572 1616 2096 2424 3144 3529 4848 6288 7058 10587 13231 14116 21174 26462 28232 39693 42348 52924 56464 79386 84696 105848 158772 169392 211696 317544 356429 462299 635088 712858 924598 1069287 1386897 1425716 1849196 2138574 2773794 2851432 3698392 4277148 5547588 5702864 7396784 8554296 11095176 17108592 22190352 46692199 93384398 140076597 186768796 280153194 373537592 560306388 747075184 1120612776 2241225552