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2221061164 = 227192297577
BaseRepresentation
bin1000010001100010…
…1011010000101100
312201210022121010121
42010120223100230
514022042424124
61004221014324
7106016464660
oct20430532054
95653277117
102221061164
11a3a805143
1251b9b43a4
132951c6a9a
14170da08a0
15ceecc2e4
hex8462b42c

2221061164 has 72 divisors (see below), whose sum is σ = 4850526240. Its totient is φ = 870573312.

The previous prime is 2221061147. The next prime is 2221061173. The reversal of 2221061164 is 4611601222.

It is a happy number.

It is a super-2 number, since 2×22210611642 = 9866225388458069792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289344 + ... + 296920.

It is an arithmetic number, because the mean of its divisors is an integer number (67368420).

Almost surely, 22221061164 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 2221061164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425263120).

2221061164 is an abundant number, since it is smaller than the sum of its proper divisors (2629465076).

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

2221061164 is a wasteful number, since it uses less digits than its factorization.

2221061164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2221061164 is about 47128.1355879903. The cubic root of 2221061164 is about 1304.7285713340.

Adding to 2221061164 its reverse (4611601222), we get a palindrome (6832662386).

The spelling of 2221061164 in words is "two billion, two hundred twenty-one million, sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 361 406 532 551 722 812 1102 1444 2204 2527 3857 5054 7577 7714 10108 10469 15154 15428 20938 30308 41876 53039 73283 106078 143963 146566 212156 219733 287926 293132 439466 575852 878932 1007741 1538131 2015482 2735297 3076262 4030964 4174927 5470594 6152524 8349854 10941188 16699708 19147079 29224489 38294158 58448978 76588316 79323613 116897956 158647226 317294452 555265291 1110530582 2221061164