Search a number
-
+
2120200146 = 232117788897
BaseRepresentation
bin111111001011111…
…1010111111010010
312110202112022211100
41332113322333102
513320232401041
6550215125230
7103353255351
oct17627727722
95422468740
102120200146
11998885829
124b2073816
1327a3413cc
14161827998
15c62076b6
hex7e5fafd2

2120200146 has 12 divisors (see below), whose sum is σ = 4593767022. Its totient is φ = 706733376.

The previous prime is 2120200141. The next prime is 2120200157. The reversal of 2120200146 is 6410020212.

It can be written as a sum of positive squares in only one way, i.e., 1805315121 + 314885025 = 42489^2 + 17745^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117788897 = 2120200146 / (2 + 1 + 2 + 0 + 2 + 0 + 0 + 1 + 4 + 6).

It is not an unprimeable number, because it can be changed into a prime (2120200141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58894431 + ... + 58894466.

Almost surely, 22120200146 is an apocalyptic number.

2120200146 is an abundant number, since it is smaller than the sum of its proper divisors (2473566876).

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

2120200146 is a wasteful number, since it uses less digits than its factorization.

2120200146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117788905 (or 117788902 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120200146 is about 46045.6311282623. The cubic root of 2120200146 is about 1284.6720831522.

Adding to 2120200146 its reverse (6410020212), we get a palindrome (8530220358).

The spelling of 2120200146 in words is "two billion, one hundred twenty million, two hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 117788897 235577794 353366691 706733382 1060100073 2120200146