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2214273648 = 24343261409
BaseRepresentation
bin1000001111111011…
…0010001001110000
312201022112202102010
42003332302021300
514013323224043
61003415322520
7105605005206
oct20376621160
95638482363
102214273648
11a36999624
12519680440
1329398b4c2
14170115076
15ce5db133
hex83fb2270

2214273648 has 120 divisors (see below), whose sum is σ = 5966887440. Its totient is φ = 707374080.

The previous prime is 2214273617. The next prime is 2214273667. The reversal of 2214273648 is 8463724122.

It is a happy number.

It is a congruent number.

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, 5413668 + ... + 5414076.

It is an arithmetic number, because the mean of its divisors is an integer number (49724062).

Almost surely, 22214273648 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 2214273648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983443720).

2214273648 is an abundant number, since it is smaller than the sum of its proper divisors (3752613792).

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

2214273648 is a wasteful number, since it uses less digits than its factorization.

2214273648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 518 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2214273648 is about 47056.0691941008. The cubic root of 2214273648 is about 1303.3981408386.

The spelling of 2214273648 in words is "two billion, two hundred fourteen million, two hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 61 86 122 129 172 183 244 258 344 366 409 488 516 688 732 818 976 1032 1227 1464 1636 1849 2064 2454 2623 2928 3272 3698 4908 5246 5547 6544 7396 7869 9816 10492 11094 14792 15738 17587 19632 20984 22188 24949 29584 31476 35174 41968 44376 49898 52761 62952 70348 74847 88752 99796 105522 112789 125904 140696 149694 199592 211044 225578 281392 299388 338367 399184 422088 451156 598776 676734 756241 844176 902312 1072807 1197552 1353468 1512482 1804624 2145614 2268723 2706936 3024964 3218421 4291228 4537446 5413872 6049928 6436842 8582456 9074892 12099856 12873684 17164912 18149784 25747368 36299568 46130701 51494736 92261402 138392103 184522804 276784206 369045608 553568412 738091216 1107136824 2214273648