Search a number
-
+
202443040 = 2555323873
BaseRepresentation
bin11000001000100…
…00100100100000
3112002221011122101
430010100210200
5403311134130
632031020144
75005510642
oct1404204440
9462834571
10202443040
11a43014a8
125796a654
1332c312a7
141cc5a892
1512b8d1ca
hexc110920

202443040 has 48 divisors (see below), whose sum is σ = 487316088. Its totient is φ = 79446016.

The previous prime is 202443023. The next prime is 202443041. The reversal of 202443040 is 40344202.

It can be written as a sum of positive squares in 4 ways, for example, as 144865296 + 57577744 = 12036^2 + 7588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202442999 and 202443017.

It is not an unprimeable number, because it can be changed into a prime (202443041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3457 + ... + 20416.

Almost surely, 2202443040 is an apocalyptic number.

202443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202443040 is an abundant number, since it is smaller than the sum of its proper divisors (284873048).

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

202443040 is a wasteful number, since it uses less digits than its factorization.

202443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23941 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 202443040 is about 14228.2479596049. The cubic root of 202443040 is about 587.1750815403.

Adding to 202443040 its reverse (40344202), we get a palindrome (242787242).

The spelling of 202443040 in words is "two hundred two million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 23873 47746 95492 119365 190984 238730 381968 477460 763936 954920 1265269 1909840 2530538 3819680 5061076 6326345 10122152 12652690 20244304 25305380 40488608 50610760 101221520 202443040