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2243349664 = 25376189349
BaseRepresentation
bin1000010110110110…
…1100110010100000
312210100020222012121
42011231230302200
514043244142124
61010334434024
7106410105013
oct20555546240
95710228177
102243349664
11a51348896
12527362914
132999cba4a
14173d2337a
15d1e312e4
hex85b6cca0

2243349664 has 96 divisors (see below), whose sum is σ = 4675482000. Its totient is φ = 1058365440.

The previous prime is 2243349637. The next prime is 2243349707. The reversal of 2243349664 is 4669433422.

It can be written as a sum of positive squares in 8 ways, for example, as 858021264 + 1385328400 = 29292^2 + 37220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2243349664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6427762 + ... + 6428110.

Almost surely, 22243349664 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 2243349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337741000).

2243349664 is an abundant number, since it is smaller than the sum of its proper divisors (2432132336).

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

2243349664 is a wasteful number, since it uses less digits than its factorization.

2243349664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its digits is 746496, while the sum is 43.

The square root of 2243349664 is about 47364.0123300381. The cubic root of 2243349664 is about 1309.0784000254.

The spelling of 2243349664 in words is "two billion, two hundred forty-three million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 61 74 89 122 148 178 244 296 349 356 488 592 698 712 976 1184 1396 1424 1952 2257 2792 2848 3293 4514 5429 5584 6586 9028 10858 11168 12913 13172 18056 21289 21716 25826 26344 31061 36112 42578 43432 51652 52688 62122 72224 85156 86864 103304 105376 124244 170312 173728 200873 206608 248488 340624 401746 413216 496976 681248 787693 803492 993952 1149257 1575386 1606984 1894721 2298514 3150772 3213968 3789442 4597028 6301544 6427936 7578884 9194056 12603088 15157768 18388112 25206176 30315536 36776224 60631072 70104677 140209354 280418708 560837416 1121674832 2243349664