Search a number
-
+
162230100 = 22352631857
BaseRepresentation
bin10011010101101…
…10111101010100
3102022021010212020
421222312331110
5313012330400
624033053140
74006635024
oct1152667524
9368233766
10162230100
118363596a
12463b71b0
13277c1856
141778da84
15e3982a0
hex9ab6f54

162230100 has 72 divisors (see below), whose sum is σ = 470678208. Its totient is φ = 43142400.

The previous prime is 162230087. The next prime is 162230111. The reversal of 162230100 is 1032261.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 162230100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188872 + ... + 189728.

Almost surely, 2162230100 is an apocalyptic number.

162230100 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 162230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235339104).

162230100 is an abundant number, since it is smaller than the sum of its proper divisors (308448108).

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

162230100 is a wasteful number, since it uses less digits than its factorization.

162230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 162230100 is about 12736.9580355751. The cubic root of 162230100 is about 545.3941541725.

Adding to 162230100 its reverse (1032261), we get a palindrome (163262361).

The spelling of 162230100 in words is "one hundred sixty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 631 857 1262 1714 1893 2524 2571 3155 3428 3786 4285 5142 6310 7572 8570 9465 10284 12620 12855 15775 17140 18930 21425 25710 31550 37860 42850 47325 51420 63100 64275 85700 94650 128550 189300 257100 540767 1081534 1622301 2163068 2703835 3244602 5407670 6489204 8111505 10815340 13519175 16223010 27038350 32446020 40557525 54076700 81115050 162230100