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2241225240 = 2335157337353
BaseRepresentation
bin1000010110010110…
…0110001000011000
312210012021001001020
42011211212020120
514042223201430
61010221122440
7106353046242
oct20545461030
95705231036
102241225240
11a50127771
125266b9420
13299436aa7
1417392d092
15d1b61b10
hex85966218

2241225240 has 128 divisors (see below), whose sum is σ = 6805805760. Its totient is φ = 590413824.

The previous prime is 2241225227. The next prime is 2241225251. The reversal of 2241225240 is 425221422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2241225240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6348904 + ... + 6349256.

Almost surely, 22241225240 is an apocalyptic number.

2241225240 is a gapful number since it is divisible by the number (20) 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 2241225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402902880).

2241225240 is an abundant number, since it is smaller than the sum of its proper divisors (4564580520).

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

2241225240 is a wasteful number, since it uses less digits than its factorization.

2241225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2241225240 is about 47341.5804552404. The cubic root of 2241225240 is about 1308.6650425736.

Adding to 2241225240 its reverse (425221422), we get a palindrome (2666446662).

The spelling of 2241225240 in words is "two billion, two hundred forty-one million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 337 353 471 628 674 706 785 942 1011 1059 1256 1348 1412 1570 1685 1765 1884 2022 2118 2355 2696 2824 3140 3370 3530 3768 4044 4236 4710 5055 5295 6280 6740 7060 8088 8472 9420 10110 10590 13480 14120 18840 20220 21180 40440 42360 52909 55421 105818 110842 118961 158727 166263 211636 221684 237922 264545 277105 317454 332526 356883 423272 443368 475844 529090 554210 594805 634908 665052 713766 793635 831315 951688 1058180 1108420 1189610 1269816 1330104 1427532 1587270 1662630 1784415 2116360 2216840 2379220 2855064 3174540 3325260 3568830 4758440 6349080 6650520 7137660 14275320 18676877 37353754 56030631 74707508 93384385 112061262 149415016 186768770 224122524 280153155 373537540 448245048 560306310 747075080 1120612620 2241225240