Search a number
-
+
23208120 = 23345131929
BaseRepresentation
bin101100010001…
…0000010111000
31121200002120000
41120202002320
521420124440
62145233000
7401160105
oct130420270
947602500
1023208120
1112111671
127932760
134a67720
143121aac
152086730
hex16220b8

23208120 has 320 divisors, whose sum is σ = 91476000. Its totient is φ = 5225472.

The previous prime is 23208113. The next prime is 23208131. The reversal of 23208120 is 2180232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23208093 and 23208102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800266 + ... + 800294.

Almost surely, 223208120 is an apocalyptic number.

23208120 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 23208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738000).

23208120 is an abundant number, since it is smaller than the sum of its proper divisors (68267880).

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

23208120 is a wasteful number, since it uses less digits than its factorization.

23208120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 23208120 is about 4817.4806693956. The cubic root of 23208120 is about 285.2418998873.

Adding to 23208120 its reverse (2180232), we get a palindrome (25388352).

It can be divided in two parts, 2320 and 8120, that added together give a triangular number (10440 = T144).

The spelling of 23208120 in words is "twenty-three million, two hundred eight thousand, one hundred twenty".