Search a number
-
+
213112340 = 225717151593
BaseRepresentation
bin11001011001111…
…01011000010100
3112212000020011122
430230331120110
5414024043330
633051423112
75165265530
oct1454753024
9485006148
10213112340
11aa329501
125b454a98
13351c869c
1420436bc0
1513a995e5
hexcb3d614

213112340 has 96 divisors (see below), whose sum is σ = 546061824. Its totient is φ = 68198400.

The previous prime is 213112283. The next prime is 213112351. The reversal of 213112340 is 43211312.

213112340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359084 + ... + 359676.

It is an arithmetic number, because the mean of its divisors is an integer number (5688144).

Almost surely, 2213112340 is an apocalyptic number.

213112340 is a gapful number since it is divisible by the number (20) 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 213112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273030912).

213112340 is an abundant number, since it is smaller than the sum of its proper divisors (332949484).

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

213112340 is a wasteful number, since it uses less digits than its factorization.

213112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 213112340 is about 14598.3677169744. The cubic root of 213112340 is about 597.3142364694.

Adding to 213112340 its reverse (43211312), we get a palindrome (256323652).

The spelling of 213112340 in words is "two hundred thirteen million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 151 170 238 302 340 476 593 595 604 755 1057 1186 1190 1510 2114 2372 2380 2567 2965 3020 4151 4228 5134 5285 5930 8302 10081 10268 10570 11860 12835 16604 17969 20162 20755 21140 25670 35938 40324 41510 50405 51340 70567 71876 83020 89543 89845 100810 141134 179086 179690 201620 282268 352835 358172 359380 447715 626801 705670 895430 1253602 1411340 1522231 1790860 2507204 3044462 3134005 6088924 6268010 7611155 10655617 12536020 15222310 21311234 30444620 42622468 53278085 106556170 213112340