Search a number
-
+
201220427776 = 2124321632
BaseRepresentation
bin1011101101100110101…
…1000001000000000000
3201020101101201211200011
42323121223001000000
511244044412142101
6232234524034304
720352300262324
oct2733153010000
9636341654604
10201220427776
117837875a6a5
1232bb8392994
1315c8a1166a4
149a4c20b984
15537a697751
hex2ed9ac1000

201220427776 has 117 divisors (see below), whose sum is σ = 414510215679. Its totient is φ = 97667555328.

The previous prime is 201220427711. The next prime is 201220427809. The reversal of 201220427776 is 677724022102.

The square root of 201220427776 is 448576.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1234481071 + ... + 1234481233.

Almost surely, 2201220427776 is an apocalyptic number.

201220427776 is the 448576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220427776

201220427776 is an abundant number, since it is smaller than the sum of its proper divisors (213289787903).

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

201220427776 is an frugal number, since it uses more digits than its factorization.

201220427776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

Adding to 201220427776 its reverse (677724022102), we get a palindrome (878944449878).

The spelling of 201220427776 in words is "two hundred one billion, two hundred twenty million, four hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 163 172 256 326 344 512 652 688 1024 1304 1376 1849 2048 2608 2752 3698 4096 5216 5504 7009 7396 10432 11008 14018 14792 20864 22016 26569 28036 29584 41728 44032 53138 56072 59168 83456 88064 106276 112144 118336 166912 176128 212552 224288 236672 301387 333824 425104 448576 473344 602774 667648 850208 897152 946688 1142467 1205548 1700416 1794304 1893376 2284934 2411096 3400832 3588608 3786752 4569868 4822192 6801664 7177216 7573504 9139736 9644384 13603328 14354432 18279472 19288768 27206656 28708864 36558944 38577536 49126081 54413312 73117888 77155072 98252162 108826624 146235776 154310144 196504324 292471552 308620288 393008648 584943104 617240576 786017296 1169886208 1234481152 1572034592 2339772416 3144069184 4679544832 6288138368 12576276736 25152553472 50305106944 100610213888 201220427776