Search a number
-
+
2173160088 = 23321115717477
BaseRepresentation
bin1000000110000111…
…1100101010011000
312121110011222012200
42001201330222120
513422312110323
6555350210200
7104565361461
oct20141745230
95543158180
102173160088
11a15768380
12507953960
132882c4b58
14168891d68
15cabb9443
hex8187ca98

2173160088 has 96 divisors (see below), whose sum is σ = 6461966160. Its totient is φ = 654301440.

The previous prime is 2173160071. The next prime is 2173160117. The reversal of 2173160088 is 8800613712.

2173160088 is a `hidden beast` number, since 2 + 17 + 31 + 600 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115606 + ... + 133082.

Almost surely, 22173160088 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 2173160088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230983080).

2173160088 is an abundant number, since it is smaller than the sum of its proper divisors (4288806072).

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

2173160088 is a wasteful number, since it uses less digits than its factorization.

2173160088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17657 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2173160088 is about 46617.1651647759. The cubic root of 2173160088 is about 1295.2807365800.

It can be divided in two parts, 2173 and 160088, that added together give a palindrome (162261).

The spelling of 2173160088 in words is "two billion, one hundred seventy-three million, one hundred sixty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 628 792 942 1256 1413 1727 1884 2826 3454 3768 5181 5652 6908 10362 11304 13816 15543 17477 20724 31086 34954 41448 52431 62172 69908 104862 124344 139816 157293 192247 209724 314586 384494 419448 576741 629172 768988 1153482 1258344 1537976 1730223 2306964 2743889 3460446 4613928 5487778 6920892 8231667 10975556 13841784 16463334 21951112 24695001 30182779 32926668 49390002 60365558 65853336 90548337 98780004 120731116 181096674 197560008 241462232 271645011 362193348 543290022 724386696 1086580044 2173160088