Search a number
-
+
23020200 = 2334527229
BaseRepresentation
bin101011111010…
…0001010101000
31121022112210000
41113310022220
521343121300
62141223000
7366445200
oct127641250
947275700
1023020200
1111aa3465
127861a60
134a00028
1430b3400
15204ac00
hex15f42a8

23020200 has 360 divisors, whose sum is σ = 96213150. Its totient is φ = 5080320.

The previous prime is 23020199. The next prime is 23020201. The reversal of 23020200 is 202032.

It is an interprime number because it is at equal distance from previous prime (23020199) and next prime (23020201).

It can be written as a sum of positive squares in 3 ways, for example, as 17288964 + 5731236 = 4158^2 + 2394^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (23020201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 793786 + ... + 793814.

Almost surely, 223020200 is an apocalyptic number.

23020200 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 23020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48106575).

23020200 is an abundant number, since it is smaller than the sum of its proper divisors (73192950).

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

23020200 is a wasteful number, since it uses less digits than its factorization.

23020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

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

The square root of 23020200 is about 4797.9370566943. The cubic root of 23020200 is about 284.4699288600.

Adding to 23020200 its reverse (202032), we get a palindrome (23222232).

It can be divided in two parts, 23020 and 200, that added together give a triangular number (23220 = T215).

The spelling of 23020200 in words is "twenty-three million, twenty thousand, two hundred".