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172105212 = 223171018353
BaseRepresentation
bin10100100001000…
…01110111111100
3102222211211222010
422100201313330
5323024331322
625024451220
74156604316
oct1220416774
9388754863
10172105212
1189170214
1249779b10
132986b606
1418c007b6
151019920c
hexa421dfc

172105212 has 48 divisors (see below), whose sum is σ = 429462432. Its totient is φ = 53452800.

The previous prime is 172105187. The next prime is 172105243. The reversal of 172105212 is 212501271.

172105212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16428 + ... + 24780.

It is an arithmetic number, because the mean of its divisors is an integer number (8947134).

Almost surely, 2172105212 is an apocalyptic number.

172105212 is a gapful number since it is divisible by the number (12) 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 172105212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214731216).

172105212 is an abundant number, since it is smaller than the sum of its proper divisors (257357220).

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

172105212 is a wasteful number, since it uses less digits than its factorization.

172105212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 172105212 is about 13118.8876052812. The cubic root of 172105212 is about 556.2431479693.

Adding to 172105212 its reverse (212501271), we get a palindrome (384606483).

It can be divided in two parts, 17210 and 5212, that added together give a palindrome (22422).

The spelling of 172105212 in words is "one hundred seventy-two million, one hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 606 1212 1717 3434 5151 6868 8353 10302 16706 20604 25059 33412 50118 100236 142001 284002 426003 568004 843653 852006 1687306 1704012 2530959 3374612 5061918 10123836 14342101 28684202 43026303 57368404 86052606 172105212