Search a number
-
+
171045216 = 2533197969
BaseRepresentation
bin10100011000111…
…11000101100000
3102220211222221000
422030133011200
5322241421331
624550032000
74144601046
oct1214370540
9386758830
10171045216
1188606891
1249348600
1329589cb4
1418a06396
151003a0e6
hexa31f160

171045216 has 48 divisors (see below), whose sum is σ = 498884400. Its totient is φ = 57014784.

The previous prime is 171045209. The next prime is 171045221. The reversal of 171045216 is 612540171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 171045216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98121 + ... + 99848.

It is an arithmetic number, because the mean of its divisors is an integer number (10393425).

Almost surely, 2171045216 is an apocalyptic number.

171045216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

171045216 is an abundant number, since it is smaller than the sum of its proper divisors (327839184).

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

171045216 is a wasteful number, since it uses less digits than its factorization.

171045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197988 (or 197974 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 171045216 is about 13078.4255933197. The cubic root of 171045216 is about 555.0988282736.

Adding to 171045216 its reverse (612540171), we get a palindrome (783585387).

The spelling of 171045216 in words is "one hundred seventy-one million, forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 197969 395938 593907 791876 1187814 1583752 1781721 2375628 3167504 3563442 4751256 5345163 6335008 7126884 9502512 10690326 14253768 19005024 21380652 28507536 42761304 57015072 85522608 171045216