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2215314304 = 27721073301
BaseRepresentation
bin1000010000001011…
…0000001110000000
312201101111121220221
42010002300032000
514014110024204
61003453512424
7105616601200
oct20402601600
95641447827
102215314304
11a3753a475
12519aa2714
13293c64088
14170306400
15ce744654
hex840b0380

2215314304 has 96 divisors (see below), whose sum is σ = 5183413560. Its totient is φ = 940262400.

The previous prime is 2215314293. The next prime is 2215314313. The reversal of 2215314304 is 4034135122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669454 + ... + 672754.

Almost surely, 22215314304 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 2215314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591706780).

2215314304 is an abundant number, since it is smaller than the sum of its proper divisors (2968099256).

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

2215314304 is a wasteful number, since it uses less digits than its factorization.

2215314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2215314304 is about 47067.1255123998. The cubic root of 2215314304 is about 1303.6022975775.

Adding to 2215314304 its reverse (4034135122), we get a palindrome (6249449426).

The spelling of 2215314304 in words is "two billion, two hundred fifteen million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 107 112 128 196 214 224 392 428 448 749 784 856 896 1498 1568 1712 2996 3136 3301 3424 5243 5992 6272 6602 6848 10486 11984 13204 13696 20972 23107 23968 26408 41944 46214 47936 52816 83888 92428 95872 105632 161749 167776 184856 211264 323498 335552 353207 369712 422528 646996 671104 706414 739424 1293992 1412828 1478848 2472449 2587984 2825656 2957696 4944898 5175968 5651312 9889796 10351936 11302624 17307143 19779592 20703872 22605248 34614286 39559184 45210496 69228572 79118368 138457144 158236736 276914288 316473472 553828576 1107657152 2215314304