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2244744744 = 2331173269433
BaseRepresentation
bin1000010111001100…
…0001011000101000
312210102212211220020
42011303001120220
514044123312434
61010424400440
7106425005214
oct20563013050
95712784806
102244744744
11a52110a50
12527916120
1329a099a38
141741a7944
15d2109849
hex85cc1628

2244744744 has 128 divisors (see below), whose sum is σ = 6243350400. Its totient is φ = 666869760.

The previous prime is 2244744727. The next prime is 2244744757. The reversal of 2244744744 is 4474474422.

It is a junction number, because it is equal to n+sod(n) for n = 2244744696 and 2244744705.

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, 5183952 + ... + 5184384.

It is an arithmetic number, because the mean of its divisors is an integer number (48776175).

Almost surely, 22244744744 is an apocalyptic number.

2244744744 is a gapful number since it is divisible by the number (24) 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 2244744744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121675200).

2244744744 is an abundant number, since it is smaller than the sum of its proper divisors (3998605656).

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

2244744744 is a wasteful number, since it uses less digits than its factorization.

2244744744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its digits is 802816, while the sum is 42.

The square root of 2244744744 is about 47378.7372562841. The cubic root of 2244744744 is about 1309.3497042400.

The spelling of 2244744744 in words is "two billion, two hundred forty-four million, seven hundred forty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 269 292 433 438 538 584 803 807 866 876 1076 1299 1606 1614 1732 1752 2152 2409 2598 2959 3212 3228 3464 4763 4818 5196 5918 6424 6456 8877 9526 9636 10392 11836 14289 17754 19052 19272 19637 23672 28578 31609 35508 38104 39274 57156 58911 63218 71016 78548 94827 114312 116477 117822 126436 157096 189654 216007 232954 235644 252872 347699 349431 379308 432014 465908 471288 648021 695398 698862 758616 864028 931816 1043097 1281247 1296042 1390796 1397724 1728056 2086194 2562494 2592084 2781592 2795448 3843741 4172388 5124988 5184168 7687482 8344776 8502821 10249976 15374964 17005642 25508463 30749928 34011284 51016926 68022568 93531031 102033852 187062062 204067704 280593093 374124124 561186186 748248248 1122372372 2244744744