Search a number
-
+
203023202200 = 235271347237343
BaseRepresentation
bin1011110100010100100…
…0000011011110011000
3201102001000222021021021
42331011020003132120
511311242414432300
6233133443452224
720445050513410
oct2750510033630
9642030867237
10203023202200
1179113339815
1233420087074
13161b6768510
149b7d807640
155433a9cd1a
hex2f45203798

203023202200 has 192 divisors, whose sum is σ = 593322024960. Its totient is φ = 62886136320.

The previous prime is 203023202189. The next prime is 203023202269. The reversal of 203023202200 is 2202320302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736729 + ... + 974071.

It is an arithmetic number, because the mean of its divisors is an integer number (3090218880).

Almost surely, 2203023202200 is an apocalyptic number.

203023202200 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 203023202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296661012480).

203023202200 is an abundant number, since it is smaller than the sum of its proper divisors (390298822760).

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

203023202200 is a wasteful number, since it uses less digits than its factorization.

203023202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237426 (or 237417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 203023202200 its reverse (2202320302), we get a palindrome (205225522502).

The spelling of 203023202200 in words is "two hundred three billion, twenty-three million, two hundred two thousand, two hundred".