Search a number
-
+
202020032 = 2629891223
BaseRepresentation
bin11000000101010…
…01010011000000
3112002010200101102
430002221103000
5403204120112
632013553532
75002066454
oct1402512300
9462120342
10202020032
11a4042705
12577a58a8
1332b138a6
141cb8a664
1512b07bc2
hexc0a94c0

202020032 has 56 divisors (see below), whose sum is σ = 419709600. Its totient is φ = 96352256.

The previous prime is 202020029. The next prime is 202020083. The reversal of 202020032 is 230020202.

It is a junction number, because it is equal to n+sod(n) for n = 202019995 and 202020022.

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, 164573 + ... + 165795.

Almost surely, 2202020032 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 202020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209854800).

202020032 is an abundant number, since it is smaller than the sum of its proper divisors (217689568).

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

202020032 is a wasteful number, since it uses less digits than its factorization.

202020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 202020032 is about 14213.3751093820. The cubic root of 202020032 is about 586.7658257551.

Adding to 202020032 its reverse (230020202), we get a palindrome (432040234).

The spelling of 202020032 in words is "two hundred two million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 178 232 356 464 712 928 1223 1424 1856 2446 2581 2848 4892 5162 5696 9784 10324 19568 20648 35467 39136 41296 70934 78272 82592 108847 141868 165184 217694 283736 435388 567472 870776 1134944 1741552 2269888 3156563 3483104 6313126 6966208 12626252 25252504 50505008 101010016 202020032