Search a number
-
+
172266160 = 245111910303
BaseRepresentation
bin10100100010010…
…01001010110000
3110000011000202011
422101021022300
5323100004120
625032132304
74161144463
oct1221111260
9400130664
10172266160
1189270130
1249837094
13298c6951
1418c432da
15101cbc5a
hexa4492b0

172266160 has 80 divisors (see below), whose sum is σ = 459970560. Its totient is φ = 59339520.

The previous prime is 172266137. The next prime is 172266167. The reversal of 172266160 is 61662271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1722661602 = 59351259762291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172266167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11569 + ... + 21871.

It is an arithmetic number, because the mean of its divisors is an integer number (5749632).

Almost surely, 2172266160 is an apocalyptic number.

172266160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172266160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229985280).

172266160 is an abundant number, since it is smaller than the sum of its proper divisors (287704400).

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

172266160 is a wasteful number, since it uses less digits than its factorization.

172266160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 172266160 is about 13125.0203809366. The cubic root of 172266160 is about 556.4164883118.

The spelling of 172266160 in words is "one hundred seventy-two million, two hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 10303 16720 20606 41212 51515 82424 103030 113333 164848 195757 206060 226666 391514 412120 453332 566665 783028 824240 906664 978785 1133330 1566056 1813328 1957570 2153327 2266660 3132112 3915140 4306654 4533320 7830280 8613308 9066640 10766635 15660560 17226616 21533270 34453232 43066540 86133080 172266160