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2212223104 = 27713257739
BaseRepresentation
bin1000001111011011…
…1101100010000000
312201011200120121001
42003312331202000
514012312114404
61003303341344
7105551405020
oct20366754200
95634616531
102212223104
11a35818a63
12518a51854
13293421070
1416db3da80
15ce3337a4
hex83dbd880

2212223104 has 128 divisors (see below), whose sum is σ = 5452675200. Its totient is φ = 870580224.

The previous prime is 2212223093. The next prime is 2212223131. The reversal of 2212223104 is 4013222122.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2993167 + ... + 2993905.

It is an arithmetic number, because the mean of its divisors is an integer number (42599025).

Almost surely, 22212223104 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 2212223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726337600).

2212223104 is an abundant number, since it is smaller than the sum of its proper divisors (3240452096).

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

2212223104 is a wasteful number, since it uses less digits than its factorization.

2212223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2212223104 is about 47034.2758421983. The cubic root of 2212223104 is about 1302.9956761777.

Adding to 2212223104 its reverse (4013222122), we get a palindrome (6225445226).

The spelling of 2212223104 in words is "two billion, two hundred twelve million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 257 364 416 448 514 728 739 832 896 1028 1456 1478 1664 1799 2056 2912 2956 3341 3598 4112 5173 5824 5912 6682 7196 8224 9607 10346 11648 11824 13364 14392 16448 19214 20692 23387 23648 26728 28784 32896 38428 41384 46774 47296 53456 57568 67249 76856 82768 93548 94592 106912 115136 134498 153712 165536 187096 189923 213824 230272 268996 307424 331072 374192 379846 427648 537992 614848 662144 748384 759692 1075984 1229696 1329461 1496768 1519384 2151968 2468999 2658922 2993536 3038768 4303936 4937998 5317844 6077536 8607872 9875996 10635688 12155072 17282993 19751992 21271376 24310144 34565986 39503984 42542752 69131972 79007968 85085504 138263944 158015936 170171008 276527888 316031872 553055776 1106111552 2212223104