Search a number
-
+
202013200 = 2452505033
BaseRepresentation
bin11000000101001…
…11101000010000
3112002010100000101
430002213220100
5403203410300
632013502144
75002040524
oct1402475020
9462110011
10202013200
11a4038564
12577a1954
1332b1074c
141cb87d84
1512b05b6a
hexc0a7a10

202013200 has 30 divisors (see below), whose sum is σ = 485337674. Its totient is φ = 80805120.

The previous prime is 202013197. The next prime is 202013219. The reversal of 202013200 is 2310202.

It can be written as a sum of positive squares in 3 ways, for example, as 53758224 + 148254976 = 7332^2 + 12176^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252117 + ... + 252916.

Almost surely, 2202013200 is an apocalyptic number.

202013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202013200 is an abundant number, since it is smaller than the sum of its proper divisors (283324474).

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

202013200 is a wasteful number, since it uses less digits than its factorization.

202013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505051 (or 505040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 202013200 is about 14213.1347703454. The cubic root of 202013200 is about 586.7592111812.

Adding to 202013200 its reverse (2310202), we get a palindrome (204323402).

The spelling of 202013200 in words is "two hundred two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 505033 1010066 2020132 2525165 4040264 5050330 8080528 10100660 12625825 20201320 25251650 40402640 50503300 101006600 202013200