Search a number
-
+
214223232040 = 23531353489407
BaseRepresentation
bin1100011110000010110…
…0110001110000101000
3202110221120210201212021
43013200230301300220
512002212121411130
6242225055154224
721322436266546
oct3074054616050
9673846721767
10214223232040
118294047aa24
1235626b15974
131727cc5a8cc
14a5230a6d96
15588bea037a
hex31e0b31c28

214223232040 has 64 divisors (see below), whose sum is σ = 498961244160. Its totient is φ = 82690037760.

The previous prime is 214223232037. The next prime is 214223232049. The reversal of 214223232040 is 40232322412.

It is a junction number, because it is equal to n+sod(n) for n = 214223231996 and 214223232014.

It is not an unprimeable number, because it can be changed into a prime (214223232049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193017 + ... + 682423.

It is an arithmetic number, because the mean of its divisors is an integer number (7796269440).

Almost surely, 2214223232040 is an apocalyptic number.

214223232040 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 214223232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480622080).

214223232040 is an abundant number, since it is smaller than the sum of its proper divisors (284738012120).

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

214223232040 is a wasteful number, since it uses less digits than its factorization.

214223232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489802 (or 489798 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 214223232040 its reverse (40232322412), we get a palindrome (254455554452).

The spelling of 214223232040 in words is "two hundred fourteen billion, two hundred twenty-three million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 353 620 706 1240 1412 1765 2824 3530 7060 10943 14120 21886 43772 54715 87544 109430 218860 437720 489407 978814 1957628 2447035 3915256 4894070 9788140 15171617 19576280 30343234 60686468 75858085 121372936 151716170 172760671 303432340 345521342 606864680 691042684 863803355 1382085368 1727606710 3455213420 5355580801 6910426840 10711161602 21422323204 26777904005 42844646408 53555808010 107111616020 214223232040