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2220582056 = 237115961099
BaseRepresentation
bin1000010001011011…
…0110010010101000
312201202102020220212
42010112312102220
514021432111211
61004202440252
7106012431110
oct20426662250
95652366825
102220582056
11a3a508190
1251b803088
132950899a4
14170cb8040
15cee3538b
hex845b64a8

2220582056 has 64 divisors (see below), whose sum is σ = 5279040000. Its totient is φ = 850484160.

The previous prime is 2220582043. The next prime is 2220582101. The reversal of 2220582056 is 6502850222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5795 + ... + 66893.

It is an arithmetic number, because the mean of its divisors is an integer number (82485000).

Almost surely, 22220582056 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 2220582056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639520000).

2220582056 is an abundant number, since it is smaller than the sum of its proper divisors (3058457944).

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

2220582056 is a wasteful number, since it uses less digits than its factorization.

2220582056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61182 (or 61178 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2220582056 is about 47123.0522780518. The cubic root of 2220582056 is about 1304.6347496870.

The spelling of 2220582056 in words is "two billion, two hundred twenty million, five hundred eighty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 59 77 88 118 154 236 308 413 472 616 649 826 1298 1652 2596 3304 4543 5192 9086 18172 36344 61099 122198 244396 427693 488792 672089 855386 1344178 1710772 2688356 3421544 3604841 4704623 5376712 7209682 9409246 14419364 18818492 25233887 28838728 37636984 39653251 50467774 79306502 100935548 158613004 201871096 277572757 317226008 555145514 1110291028 2220582056