Search a number
-
+
217331142 = 23731712351
BaseRepresentation
bin11001111010000…
…11010111000110
3120010221120021120
430331003113012
5421114044032
633322054410
75246166330
oct1475032706
9503846246
10217331142
11101750116
126094a406
1336044a12
1420c14450
151412e62c
hexcf435c6

217331142 has 64 divisors (see below), whose sum is σ = 520224768. Its totient is φ = 59220000.

The previous prime is 217331141. The next prime is 217331167. The reversal of 217331142 is 241133712.

It is a happy number.

217331142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217331141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91267 + ... + 93617.

It is an arithmetic number, because the mean of its divisors is an integer number (8128512).

Almost surely, 2217331142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217331142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260112384).

217331142 is an abundant number, since it is smaller than the sum of its proper divisors (302893626).

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

217331142 is a wasteful number, since it uses less digits than its factorization.

217331142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465.

The product of its digits is 1008, while the sum is 24.

The square root of 217331142 is about 14742.1552698376. The cubic root of 217331142 is about 601.2300156018.

Adding to 217331142 its reverse (241133712), we get a palindrome (458464854).

The spelling of 217331142 in words is "two hundred seventeen million, three hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 71 93 142 186 213 217 426 434 497 651 994 1302 1491 2201 2351 2982 4402 4702 6603 7053 13206 14106 15407 16457 30814 32914 46221 49371 72881 92442 98742 145762 166921 218643 333842 437286 500763 510167 1001526 1020334 1168447 1530501 2336894 3061002 3505341 5174551 7010682 10349102 15523653 31047306 36221857 72443714 108665571 217331142