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5219844224 = 27759293337
BaseRepresentation
bin1001101110010000…
…01000000010000000
3111110210001120010212
410313020020002000
541142240003344
62221543213252
7243231641510
oct46710100200
914423046125
105219844224
112239514251
121018147228
1365257342a
1437736b840
152083d079e
hex137208080

5219844224 has 128 divisors (see below), whose sum is σ = 12163132800. Its totient is φ = 2185150464.

The previous prime is 5219844221. The next prime is 5219844229. The reversal of 5219844224 is 4224489125.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5219844221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15488984 + ... + 15489320.

It is an arithmetic number, because the mean of its divisors is an integer number (95024475).

Almost surely, 25219844224 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 5219844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081566400).

5219844224 is an abundant number, since it is smaller than the sum of its proper divisors (6943288576).

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

5219844224 is a wasteful number, since it uses less digits than its factorization.

5219844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 5219844224 is about 72248.4894236551. The cubic root of 5219844224 is about 1734.6792392046.

The spelling of 5219844224 in words is "five billion, two hundred nineteen million, eight hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 293 337 413 448 472 586 674 826 896 944 1172 1348 1652 1888 2051 2344 2359 2696 3304 3776 4102 4688 4718 5392 6608 7552 8204 9376 9436 10784 13216 16408 17287 18752 18872 19883 21568 26432 32816 34574 37504 37744 39766 43136 52864 65632 69148 75488 79532 98741 121009 131264 138296 139181 150976 159064 197482 242018 262528 276592 278362 301952 318128 394964 484036 553184 556724 636256 691187 789928 968072 1106368 1113448 1272512 1382374 1579856 1936144 2212736 2226896 2545024 2764748 3159712 3872288 4453792 5529496 5825719 6319424 7744576 8907584 11058992 11651438 12638848 15489152 17815168 22117984 23302876 40780033 44235968 46605752 81560066 88471936 93211504 163120132 186423008 326240264 372846016 652480528 745692032 1304961056 2609922112 5219844224