Search a number
-
+
422007102 = 232112712729
BaseRepresentation
bin11001001001110…
…101000100111110
31002102002011220200
4121021311010332
51331013211402
6105513024330
713313000256
oct3111650476
91072064820
10422007102
111a7237200
12b93b50a6
136957845a
1440092966
15270ae21c
hex1927513e

422007102 has 72 divisors (see below), whose sum is σ = 1019556720. Its totient is φ = 126033600.

The previous prime is 422007083. The next prime is 422007149. The reversal of 422007102 is 201700224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153274 + ... + 156002.

It is an arithmetic number, because the mean of its divisors is an integer number (14160510).

Almost surely, 2422007102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422007102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509778360).

422007102 is an abundant number, since it is smaller than the sum of its proper divisors (597549618).

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

422007102 is a wasteful number, since it uses less digits than its factorization.

422007102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 422007102 is about 20542.8114434222. The cubic root of 422007102 is about 750.0782744972.

Adding to 422007102 its reverse (201700224), we get a palindrome (623707326).

The spelling of 422007102 in words is "four hundred twenty-two million, seven thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 121 142 198 213 242 363 426 639 726 781 1089 1278 1562 2178 2343 2729 4686 5458 7029 8187 8591 14058 16374 17182 24561 25773 30019 49122 51546 60038 77319 90057 154638 180114 193759 270171 330209 387518 540342 581277 660418 990627 1162554 1743831 1981254 2131349 2971881 3487662 4262698 5943762 6394047 12788094 19182141 23444839 38364282 46889678 70334517 140669034 211003551 422007102