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2216972912 = 247118920219
BaseRepresentation
bin1000010000100100…
…0101001001110000
312201111121220002212
42010021011021300
514020021113122
61003553231252
7105636646610
oct20411051160
95644556085
102216972912
11a38472620
1251a562528
132943c4cbb
14170618a40
15ce970ce2
hex84245270

2216972912 has 80 divisors (see below), whose sum is σ = 5415724800. Its totient is φ = 854008320.

The previous prime is 2216972893. The next prime is 2216972917. The reversal of 2216972912 is 2192796122.

It is a self number, because there is not a number n which added to its sum of digits gives 2216972912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216972917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99539 + ... + 119757.

It is an arithmetic number, because the mean of its divisors is an integer number (67696560).

Almost surely, 22216972912 is an apocalyptic number.

2216972912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216972912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707862400).

2216972912 is an abundant number, since it is smaller than the sum of its proper divisors (3198751888).

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

2216972912 is a wasteful number, since it uses less digits than its factorization.

2216972912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20334 (or 20328 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 2216972912 is about 47084.7418172809. The cubic root of 2216972912 is about 1303.9275525259.

The spelling of 2216972912 in words is "two billion, two hundred sixteen million, nine hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 112 154 176 178 308 356 616 623 712 979 1232 1246 1424 1958 2492 3916 4984 6853 7832 9968 13706 15664 20219 27412 40438 54824 80876 109648 141533 161752 222409 283066 323504 444818 566132 889636 1132264 1556863 1779272 1799491 2264528 3113726 3558544 3598982 6227452 7197964 12454904 12596437 14395928 19794401 24909808 25192874 28791856 39588802 50385748 79177604 100771496 138560807 158355208 201542992 277121614 316710416 554243228 1108486456 2216972912