Search a number
-
+
243115020 = 223453147103
BaseRepresentation
bin11100111110110…
…10010000001100
3121221110112010000
432133122100030
5444214140040
640042444300
76011305101
oct1637322014
9557415100
10243115020
11115260a05
1269503690
133b4a1955
1424406aa8
1516524130
hexe7da40c

243115020 has 240 divisors, whose sum is σ = 811819008. Its totient is φ = 60808320.

The previous prime is 243115009. The next prime is 243115057. The reversal of 243115020 is 20511342.

243115020 is digitally balanced in base 2, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 243114984 and 243115002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2360289 + ... + 2360391.

Almost surely, 2243115020 is an apocalyptic number.

243115020 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 243115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405909504).

243115020 is an abundant number, since it is smaller than the sum of its proper divisors (568703988).

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

243115020 is a wasteful number, since it uses less digits than its factorization.

243115020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 243115020 is about 15592.1460998799. The cubic root of 243115020 is about 624.1235886862.

Adding to 243115020 its reverse (20511342), we get a palindrome (263626362).

The spelling of 243115020 in words is "two hundred forty-three million, one hundred fifteen thousand, twenty".