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23230820 = 2253731393
BaseRepresentation
bin101100010011…
…1100101100100
31121201020200202
41120213211210
521421341240
62145530032
7401313224
oct130474544
947636622
1023230820
1112127728
127943918
134a74b62
14312a084
15208d315
hex1627964

23230820 has 24 divisors (see below), whose sum is σ = 50104824. Its totient is φ = 9040896.

The previous prime is 23230817. The next prime is 23230829. The reversal of 23230820 is 2803232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14182756 + 9048064 = 3766^2 + 3008^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23230792 and 23230801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14957 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (2087701).

Almost surely, 223230820 is an apocalyptic number.

23230820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23230820 is an abundant number, since it is smaller than the sum of its proper divisors (26874004).

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

23230820 is a wasteful number, since it uses less digits than its factorization.

23230820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31439 (or 31437 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23230820 is about 4819.8360967983. The cubic root of 23230820 is about 285.3348685149.

The spelling of 23230820 in words is "twenty-three million, two hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 31393 62786 125572 156965 313930 627860 1161541 2323082 4646164 5807705 11615410 23230820