Search a number
-
+
172208020 = 22519597681
BaseRepresentation
bin10100100001110…
…10111110010100
3110000001001222211
422100322332110
5323041124040
625031003204
74160513125
oct1220727624
9400031884
10172208020
1189230486
1249809504
13298a634a
1418c2a04c
15101b98ea
hexa43af94

172208020 has 48 divisors (see below), whose sum is σ = 387172800. Its totient is φ = 64143360.

The previous prime is 172208009. The next prime is 172208021. The reversal of 172208020 is 20802271.

172208020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 172207982 and 172208000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172208021) 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, 18580 + ... + 26260.

It is an arithmetic number, because the mean of its divisors is an integer number (8066100).

Almost surely, 2172208020 is an apocalyptic number.

172208020 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 172208020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193586400).

172208020 is an abundant number, since it is smaller than the sum of its proper divisors (214964780).

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

172208020 is a wasteful number, since it uses less digits than its factorization.

172208020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 172208020 is about 13122.8053403226. The cubic root of 172208020 is about 556.3538842293.

The spelling of 172208020 in words is "one hundred seventy-two million, two hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 2242 4484 5605 7681 11210 15362 22420 30724 38405 76810 145939 153620 291878 453179 583756 729695 906358 1459390 1812716 2265895 2918780 4531790 8610401 9063580 17220802 34441604 43052005 86104010 172208020