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2114444310 = 2351119333199
BaseRepresentation
bin111111000000111…
…1101110000010110
312110100200220022020
41332001331300112
513312244204220
6545451514010
7103253323446
oct17601756026
95410626266
102114444310
11995604340
124b0158906
132790a75a4
14160b6a126
15c596c040
hex7e07dc16

2114444310 has 64 divisors (see below), whose sum is σ = 5564851200. Its totient is φ = 509921280.

The previous prime is 2114444287. The next prime is 2114444323. The reversal of 2114444310 is 134444112.

It is a super-2 number, since 2×21144443102 = 8941749480182752200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47091 + ... + 80289.

It is an arithmetic number, because the mean of its divisors is an integer number (86950800).

Almost surely, 22114444310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114444310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782425600).

2114444310 is an abundant number, since it is smaller than the sum of its proper divisors (3450406890).

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

2114444310 is a wasteful number, since it uses less digits than its factorization.

2114444310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33413.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2114444310 is about 45983.0872169323. The cubic root of 2114444310 is about 1283.5085038150.

Adding to 2114444310 its reverse (134444112), we get a palindrome (2248888422).

The spelling of 2114444310 in words is "two billion, one hundred fourteen million, four hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 193 330 386 579 965 1158 1930 2123 2895 4246 5790 6369 10615 12738 21230 31845 33199 63690 66398 99597 165995 199194 331990 365189 497985 730378 995970 1095567 1825945 2191134 3651890 5477835 6407407 10955670 12814814 19222221 32037035 38444442 64074070 70481477 96111105 140962954 192222210 211444431 352407385 422888862 704814770 1057222155 2114444310