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2114244304 = 2417192914107
BaseRepresentation
bin111111000000100…
…1100111011010000
312110100022201221121
41332001030323100
513312221304204
6545443332024
7103251531364
oct17601147320
95410281847
102114244304
11995488047
124b0081014
13279037543
14160b172a4
15c592cb54
hex7e04ced0

2114244304 has 80 divisors (see below), whose sum is σ = 4723358400. Its totient is φ = 910006272.

The previous prime is 2114244259. The next prime is 2114244313. The reversal of 2114244304 is 4034424112.

It is a congruent number.

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, 142819 + ... + 156925.

It is an arithmetic number, because the mean of its divisors is an integer number (59041980).

Almost surely, 22114244304 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 2114244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361679200).

2114244304 is an abundant number, since it is smaller than the sum of its proper divisors (2609114096).

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

2114244304 is a wasteful number, since it uses less digits than its factorization.

2114244304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2114244304 is about 45980.9123876419. The cubic root of 2114244304 is about 1283.4680333716.

Adding to 2114244304 its reverse (4034424112), we get a palindrome (6148668416).

The spelling of 2114244304 in words is "two billion, one hundred fourteen million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 116 136 152 232 272 304 323 464 493 551 646 986 1102 1292 1972 2204 2584 3944 4408 5168 7888 8816 9367 14107 18734 28214 37468 56428 74936 112856 149872 225712 239819 268033 409103 479638 536066 818206 959276 1072132 1636412 1918552 2144264 3272824 3837104 4288528 4556561 6545648 6954751 7772957 9113122 13909502 15545914 18226244 27819004 31091828 36452488 55638008 62183656 72904976 111276016 124367312 132140269 264280538 528561076 1057122152 2114244304