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2220656564 = 22747109113137
BaseRepresentation
bin1000010001011100…
…1000011110110100
312201202120001010102
42010113020132310
514021442002224
61004204213232
7106013161250
oct20427103664
95652501112
102220656564
11a3a559165
1251b83a218
132950b4889
14170cd7260
15cee4c4ae
hex845c87b4

2220656564 has 96 divisors (see below), whose sum is σ = 4651637760. Its totient is φ = 908070912.

The previous prime is 2220656561. The next prime is 2220656653. The reversal of 2220656564 is 4656560222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220656561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16209104 + ... + 16209240.

It is an arithmetic number, because the mean of its divisors is an integer number (48454560).

Almost surely, 22220656564 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 2220656564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325818880).

2220656564 is an abundant number, since it is smaller than the sum of its proper divisors (2430981196).

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

2220656564 is a wasteful number, since it uses less digits than its factorization.

2220656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2220656564 is about 47123.8428399043. The cubic root of 2220656564 is about 1304.6493411524.

The spelling of 2220656564 in words is "two billion, two hundred twenty million, six hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 94 109 113 137 188 218 226 274 329 436 452 548 658 763 791 959 1316 1526 1582 1918 3052 3164 3836 5123 5311 6439 10246 10622 12317 12878 14933 15481 20492 21244 24634 25756 29866 30962 35861 37177 45073 49268 59732 61924 71722 74354 86219 90146 104531 108367 143444 148708 172438 180292 209062 216734 344876 418124 433468 578899 701851 727607 1157798 1403702 1455214 1687429 2315596 2807404 2910428 3374858 4052293 4912957 5093249 6749716 8104586 9825914 10186498 11812003 16209172 19651828 20372996 23624006 47248012 79309163 158618326 317236652 555164141 1110328282 2220656564