Search a number
-
+
23434330200 = 233521919310651
BaseRepresentation
bin10101110100110010…
…111000000001011000
32020111011211022121120
4111310302320001120
5340443142031300
614433211005240
71456503343251
oct256462700130
966434738546
1023434330200
119a36083146
124660139820
132296060698
1411c446bb28
159225053a0
hex574cb8058

23434330200 has 192 divisors, whose sum is σ = 76873353600. Its totient is φ = 5889024000.

The previous prime is 23434330163. The next prime is 23434330217. The reversal of 23434330200 is 203343432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194875 + ... + 2205525.

It is an arithmetic number, because the mean of its divisors is an integer number (400382050).

Almost surely, 223434330200 is an apocalyptic number.

23434330200 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 23434330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38436676800).

23434330200 is an abundant number, since it is smaller than the sum of its proper divisors (53439023400).

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

23434330200 is a wasteful number, since it uses less digits than its factorization.

23434330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23434330200 its reverse (203343432), we get a palindrome (23637673632).

The spelling of 23434330200 in words is "twenty-three billion, four hundred thirty-four million, three hundred thirty thousand, two hundred".