Search a number
-
+
2188708002 = 23213194112007
BaseRepresentation
bin1000001001110101…
…0000100010100010
312122112102212221100
42002131100202202
513440302124002
61001103335230
7105144465615
oct20235204242
95575385840
102188708002
11a23517798
12510bb1516
1328b5a99c0
1416a97c17c
15cc23b11c
hex827508a2

2188708002 has 96 divisors (see below), whose sum is σ = 5507349120. Its totient is φ = 622391040.

The previous prime is 2188707931. The next prime is 2188708013. The reversal of 2188708002 is 2008078812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176283 + ... + 188289.

It is an arithmetic number, because the mean of its divisors is an integer number (57368220).

Almost surely, 22188708002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188708002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753674560).

2188708002 is an abundant number, since it is smaller than the sum of its proper divisors (3318641118).

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

2188708002 is a wasteful number, since it uses less digits than its factorization.

2188708002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088 (or 12085 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2188708002 is about 46783.6296368719. The cubic root of 2188708002 is about 1298.3624355194.

The spelling of 2188708002 in words is "two billion, one hundred eighty-eight million, seven hundred eight thousand, two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 41 57 78 82 114 117 123 171 234 246 247 342 369 494 533 738 741 779 1066 1482 1558 1599 2223 2337 3198 4446 4674 4797 7011 9594 10127 12007 14022 20254 24014 30381 36021 60762 72042 91143 108063 156091 182286 216126 228133 312182 456266 468273 492287 684399 936546 984574 1368798 1404819 1476861 2053197 2809638 2953722 2965729 4106394 4430583 5931458 6399731 8861166 8897187 9353453 12799462 17794374 18706906 19199193 26691561 28060359 38398386 53383122 56120718 57597579 84181077 115195158 121594889 168362154 243189778 364784667 729569334 1094354001 2188708002