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2115305052 = 223759616997
BaseRepresentation
bin111111000010100…
…1111111001011100
312110102022122000120
41332011033321130
513313004230202
6545522154540
7103263540060
oct17605177134
95412278016
102115305052
11996041aa3
124b04b2a50
132793192c3
14160d11aa0
15c5a8c0bc
hex7e14fe5c

2115305052 has 96 divisors (see below), whose sum is σ = 5831293440. Its totient is φ = 584305920.

The previous prime is 2115305047. The next prime is 2115305069. The reversal of 2115305052 is 2505035112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298818 + ... + 305814.

It is an arithmetic number, because the mean of its divisors is an integer number (60742640).

Almost surely, 22115305052 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 2115305052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915646720).

2115305052 is an abundant number, since it is smaller than the sum of its proper divisors (3715988388).

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

2115305052 is a wasteful number, since it uses less digits than its factorization.

2115305052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2115305052 is about 45992.4455970760. The cubic root of 2115305052 is about 1283.6826425231.

The spelling of 2115305052 in words is "two billion, one hundred fifteen million, three hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 61 84 118 122 177 183 236 244 354 366 413 427 708 732 826 854 1239 1281 1652 1708 2478 2562 3599 4956 5124 6997 7198 10797 13994 14396 20991 21594 25193 27988 41982 43188 48979 50386 75579 83964 97958 100772 146937 151158 195916 293874 302316 412823 426817 587748 825646 853634 1238469 1280451 1651292 1707268 2476938 2560902 2889761 2987719 4953876 5121804 5779522 5975438 8669283 8963157 11559044 11950876 17338566 17926314 25182203 34677132 35852628 50364406 75546609 100728812 151093218 176275421 302186436 352550842 528826263 705101684 1057652526 2115305052