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2221164736 = 26713137847
BaseRepresentation
bin1000010001100100…
…0100100011000000
312201210111212012121
42010121010203000
514022104232421
61004223134024
7106020405640
oct20431044300
95653455177
102221164736
11a3a875a3a
1251ba44314
13295231c7b
14170dca520
15ceeecd41
hex846448c0

2221164736 has 56 divisors (see below), whose sum is σ = 5075870976. Its totient is φ = 944636160.

The previous prime is 2221164727. The next prime is 2221164761. The reversal of 2221164736 is 6374611222.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39765 + ... + 77611.

Almost surely, 22221164736 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 2221164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537935488).

2221164736 is an abundant number, since it is smaller than the sum of its proper divisors (2854706240).

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

2221164736 is a wasteful number, since it uses less digits than its factorization.

2221164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37997 (or 37987 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 2221164736 is about 47129.2344092284. The cubic root of 2221164736 is about 1304.7488516170.

Adding to 2221164736 its reverse (6374611222), we get a palindrome (8595775958).

The spelling of 2221164736 in words is "two billion, two hundred twenty-one million, one hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1048 1834 2096 3668 4192 7336 8384 14672 29344 37847 58688 75694 151388 264929 302776 529858 605552 1059716 1211104 2119432 2422208 4238864 4957957 8477728 9915914 16955456 19831828 34705699 39663656 69411398 79327312 138822796 158654624 277645592 317309248 555291184 1110582368 2221164736