Search a number
-
+
20203200 = 2632522361
BaseRepresentation
bin100110100010…
…0011011000000
31102000102120200
41031010123000
520133000300
62001005200
7333503313
oct115043300
942012520
1020203200
1110449a66
126923800
134254a74
14297c97a
151b91200
hex13446c0

20203200 has 252 divisors, whose sum is σ = 76157328. Its totient is φ = 5068800.

The previous prime is 20203187. The next prime is 20203217. The reversal of 20203200 is 230202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331170 + ... + 331230.

Almost surely, 220203200 is an apocalyptic number.

20203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38078664).

20203200 is an abundant number, since it is smaller than the sum of its proper divisors (55954128).

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

20203200 is a wasteful number, since it uses less digits than its factorization.

20203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20203200 is about 4494.7969920787. The cubic root of 20203200 is about 272.3579485761.

Adding to 20203200 its reverse (230202), we get a palindrome (20433402).

The spelling of 20203200 in words is "twenty million, two hundred three thousand, two hundred".