Search a number
-
+
23282380 = 22511105829
BaseRepresentation
bin101100011010…
…0001011001100
31121210212102101
41120310023030
521430014010
62151004444
7401616442
oct130641314
947725371
1023282380
1112162440
127969724
134a92474
143140b92
15209d73a
hex16342cc

23282380 has 24 divisors (see below), whose sum is σ = 53338320. Its totient is φ = 8466240.

The previous prime is 23282341. The next prime is 23282381. The reversal of 23282380 is 8328232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23282381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52695 + ... + 53134.

It is an arithmetic number, because the mean of its divisors is an integer number (2222430).

Almost surely, 223282380 is an apocalyptic number.

23282380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23282380 is an abundant number, since it is smaller than the sum of its proper divisors (30055940).

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

23282380 is a wasteful number, since it uses less digits than its factorization.

23282380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105849 (or 105847 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23282380 is about 4825.1818618576. The cubic root of 23282380 is about 285.5458094842.

It can be divided in two parts, 232823 and 80, that added together give a triangular number (232903 = T682).

The spelling of 23282380 in words is "twenty-three million, two hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 105829 211658 423316 529145 1058290 1164119 2116580 2328238 4656476 5820595 11641190 23282380