Search a number
-
+
180129222 = 232713277397
BaseRepresentation
bin10101011110010…
…00110111000110
3110112221111211200
422233020313012
5332103113342
625512443330
74315034040
oct1257106706
9415844750
10180129222
1192750829
12503a9546
132b41a950
1419ccca90
1510c3194c
hexabc8dc6

180129222 has 96 divisors (see below), whose sum is σ = 483292992. Its totient is φ = 47215872.

The previous prime is 180129221. The next prime is 180129241. The reversal of 180129222 is 222921081.

It is a super-3 number, since 3×1801292223 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180129221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453528 + ... + 453924.

It is an arithmetic number, because the mean of its divisors is an integer number (5034302).

Almost surely, 2180129222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180129222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241646496).

180129222 is an abundant number, since it is smaller than the sum of its proper divisors (303163770).

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

180129222 is a wasteful number, since it uses less digits than its factorization.

180129222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 180129222 is about 13421.2228205928. Note that the first 3 decimals coincide. The cubic root of 180129222 is about 564.7566989618.

The spelling of 180129222 in words is "one hundred eighty million, one hundred twenty-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 277 397 546 554 794 819 831 1191 1638 1662 1939 2382 2493 2779 3573 3601 3878 4986 5161 5558 5817 7146 7202 8337 10322 10803 11634 15483 16674 17451 21606 25011 25207 30966 32409 34902 36127 46449 50022 50414 64818 72254 75621 92898 108381 109969 151242 216762 219938 226863 325143 329907 453726 650286 659814 769783 989721 1429597 1539566 1979442 2309349 2859194 4288791 4618698 6928047 8577582 10007179 12866373 13856094 20014358 25732746 30021537 60043074 90064611 180129222