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202002424 = 231310119231
BaseRepresentation
bin11000000101001…
…00111111111000
3112002002210020021
430002210333320
5403203034144
632013340224
75001664231
oct1402447770
9462083207
10202002424
11a4030458
1257797674
1332b08880
141cb84088
1512b02884
hexc0a4ff8

202002424 has 32 divisors (see below), whose sum is σ = 411949440. Its totient is φ = 92304000.

The previous prime is 202002419. The next prime is 202002431. The reversal of 202002424 is 424200202.

202002424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202002398 and 202002407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 20119.

It is an arithmetic number, because the mean of its divisors is an integer number (12873420).

Almost surely, 2202002424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205974720).

202002424 is an abundant number, since it is smaller than the sum of its proper divisors (209947016).

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

202002424 is a wasteful number, since it uses less digits than its factorization.

202002424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19351 (or 19347 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 202002424 is about 14212.7556793185. The cubic root of 202002424 is about 586.7487778206.

Adding to 202002424 its reverse (424200202), we get a palindrome (626202626).

The spelling of 202002424 in words is "two hundred two million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2626 5252 10504 19231 38462 76924 153848 250003 500006 1000012 1942331 2000024 3884662 7769324 15538648 25250303 50500606 101001212 202002424