Search a number
-
+
23210880 = 2735711157
BaseRepresentation
bin101100010001…
…0101110000000
31121200020100020
41120202232000
521420222010
62145253440
7401201130
oct130425600
947606306
1023210880
1112113750
127934280
134a68a64
143122ac0
152087470
hex1622b80

23210880 has 256 divisors, whose sum is σ = 92828160. Its totient is φ = 4792320.

The previous prime is 23210857. The next prime is 23210939. The reversal of 23210880 is 8801232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23210880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147762 + ... + 147918.

It is an arithmetic number, because the mean of its divisors is an integer number (362610).

Almost surely, 223210880 is an apocalyptic number.

23210880 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 23210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414080).

23210880 is an abundant number, since it is smaller than the sum of its proper divisors (69617280).

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

23210880 is a wasteful number, since it uses less digits than its factorization.

23210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 23210880 is about 4817.7671176594. The cubic root of 23210880 is about 285.2532067983.

It can be divided in two parts, 23210 and 880, that added together give a triangular number (24090 = T219).

The spelling of 23210880 in words is "twenty-three million, two hundred ten thousand, eight hundred eighty".