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2244911360 = 28537107443
BaseRepresentation
bin1000010111001110…
…1010000100000000
312210110012022110012
42011303222010000
514044144130420
61010432124052
7106426301036
oct20563520400
95713168405
102244911360
11a5221514a
12527996628
1329a127823
1417420c556
15d213ddc5
hex85cea100

2244911360 has 144 divisors (see below), whose sum is σ = 5586791616. Its totient is φ = 863576064.

The previous prime is 2244911329. The next prime is 2244911377. The reversal of 2244911360 is 631194422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5067299 + ... + 5067741.

It is an arithmetic number, because the mean of its divisors is an integer number (38797164).

Almost surely, 22244911360 is an apocalyptic number.

2244911360 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 2244911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793395808).

2244911360 is an abundant number, since it is smaller than the sum of its proper divisors (3341880256).

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

2244911360 is a wasteful number, since it uses less digits than its factorization.

2244911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2244911360 is about 47380.4955651585. The cubic root of 2244911360 is about 1309.3820988977.

The spelling of 2244911360 in words is "two billion, two hundred forty-four million, nine hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 107 128 148 160 185 214 256 296 320 370 428 443 535 592 640 740 856 886 1070 1184 1280 1480 1712 1772 2140 2215 2368 2960 3424 3544 3959 4280 4430 4736 5920 6848 7088 7918 8560 8860 9472 11840 13696 14176 15836 16391 17120 17720 19795 23680 27392 28352 31672 32782 34240 35440 39590 47360 47401 56704 63344 65564 68480 70880 79180 81955 94802 113408 126688 131128 136960 141760 158360 163910 189604 237005 253376 262256 283520 316720 327820 379208 474010 506752 524512 567040 633440 655640 758416 948020 1013504 1049024 1266880 1311280 1516832 1753837 1896040 2098048 2533760 2622560 3033664 3507674 3792080 4196096 5067520 5245120 6067328 7015348 7584160 8769185 10490240 12134656 14030696 15168320 17538370 20980480 28061392 30336640 35076740 56122784 60673280 70153480 112245568 140306960 224491136 280613920 448982272 561227840 1122455680 2244911360