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2220504312 = 2331319834513
BaseRepresentation
bin1000010001011010…
…0011010011111000
312201202021022021110
42010112203103320
514021422114222
61004201040320
7106011655335
oct20426432370
95652238243
102220504312
11a3a464834
1251b7860a0
132950604a0
14170c9798c
15cee1c30c
hex845a34f8

2220504312 has 128 divisors (see below), whose sum is σ = 6370156800. Its totient is φ = 639332352.

The previous prime is 2220504263. The next prime is 2220504313. The reversal of 2220504312 is 2134050222.

It is a super-2 number, since 2×22205043122 = 9861278799221186688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220504313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489768 + ... + 494280.

It is an arithmetic number, because the mean of its divisors is an integer number (49766850).

Almost surely, 22220504312 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 2220504312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185078400).

2220504312 is an abundant number, since it is smaller than the sum of its proper divisors (4149652488).

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

2220504312 is a wasteful number, since it uses less digits than its factorization.

2220504312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2220504312 is about 47122.2273667109. The cubic root of 2220504312 is about 1304.6195241433.

Adding to 2220504312 its reverse (2134050222), we get a palindrome (4354554534).

The spelling of 2220504312 in words is "two billion, two hundred twenty million, five hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 83 104 114 152 156 166 228 247 249 312 332 456 494 498 664 741 988 996 1079 1482 1577 1976 1992 2158 2964 3154 3237 4316 4513 4731 5928 6308 6474 8632 9026 9462 12616 12948 13539 18052 18924 20501 25896 27078 36104 37848 41002 54156 58669 61503 82004 85747 108312 117338 123006 164008 171494 176007 234676 246012 257241 342988 352014 374579 469352 492024 514482 685976 704028 749158 1028964 1114711 1123737 1408056 1498316 2057928 2229422 2247474 2996632 3344133 4458844 4494948 4869527 6688266 7117001 8917688 8989896 9739054 13376532 14234002 14608581 19478108 21351003 26753064 28468004 29217162 38956216 42702006 56936008 58434324 85404012 92521013 116868648 170808024 185042026 277563039 370084052 555126078 740168104 1110252156 2220504312