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2214303104 = 271323471231
BaseRepresentation
bin1000001111111011…
…1001010110000000
312201022121020211002
42003332321112000
514013330144404
61003420111132
7105605160116
oct20376712600
95638536732
102214303104
11a36a09772
125196954a8
1329399ba30
14170121ab6
15ce5e4c1e
hex83fb9580

2214303104 has 128 divisors (see below), whose sum is σ = 5066772480. Its totient is φ = 955975680.

The previous prime is 2214303101. The next prime is 2214303121. The reversal of 2214303104 is 4013034122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214303101) 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, 1798169 + ... + 1799399.

It is an arithmetic number, because the mean of its divisors is an integer number (39584160).

Almost surely, 22214303104 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 2214303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533386240).

2214303104 is an abundant number, since it is smaller than the sum of its proper divisors (2852469376).

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

2214303104 is a wasteful number, since it uses less digits than its factorization.

2214303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2214303104 is about 47056.3821813790. The cubic root of 2214303104 is about 1303.4039204202.

Adding to 2214303104 its reverse (4013034122), we get a palindrome (6227337226).

The spelling of 2214303104 in words is "two billion, two hundred fourteen million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 46 47 52 64 92 94 104 128 184 188 208 299 368 376 416 598 611 736 752 832 1081 1196 1222 1231 1472 1504 1664 2162 2392 2444 2462 2944 3008 4324 4784 4888 4924 6016 8648 9568 9776 9848 14053 16003 17296 19136 19552 19696 28106 28313 32006 34592 38272 39104 39392 56212 56626 57857 64012 69184 78208 78784 112424 113252 115714 128024 138368 157568 224848 226504 231428 256048 368069 449696 453008 462856 512096 736138 752141 899392 906016 925712 1024192 1330711 1472276 1504282 1798784 1812032 1851424 2048384 2661422 2944552 3008564 3624064 3702848 5322844 5889104 6017128 7405696 10645688 11778208 12034256 17299243 21291376 23556416 24068512 34598486 42582752 47112832 48137024 69196972 85165504 96274048 138393944 170331008 276787888 553575776 1107151552 2214303104