Search a number
-
+
23445200 = 245258613
BaseRepresentation
bin101100101101…
…1111011010000
31122010010202202
41121123323100
522000221300
62154302332
7403165232
oct131337320
948103682
1023445200
11122637a9
127a279a8
134b1b5cc
143184252
1520d1ad5
hex165bed0

23445200 has 30 divisors (see below), whose sum is σ = 56328054. Its totient is φ = 9377920.

The previous prime is 23445197. The next prime is 23445209. The reversal of 23445200 is 254432.

It can be written as a sum of positive squares in 3 ways, for example, as 7795264 + 15649936 = 2792^2 + 3956^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23445209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28907 + ... + 29706.

Almost surely, 223445200 is an apocalyptic number.

23445200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23445200 is an abundant number, since it is smaller than the sum of its proper divisors (32882854).

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

23445200 is a wasteful number, since it uses less digits than its factorization.

23445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58631 (or 58620 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 23445200 is about 4842.0243700337. The cubic root of 23445200 is about 286.2098969391.

Adding to 23445200 its reverse (254432), we get a palindrome (23699632).

The spelling of 23445200 in words is "twenty-three million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 58613 117226 234452 293065 468904 586130 937808 1172260 1465325 2344520 2930650 4689040 5861300 11722600 23445200