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23331820 = 22517163421
BaseRepresentation
bin101100100000…
…0001111101100
31121220101020111
41121000033230
521433104240
62152025404
7402213541
oct131001754
947811214
1023331820
11121965a6
127992264
134aabb15
143154bc8
1520ad1ea
hex16403ec

23331820 has 48 divisors (see below), whose sum is σ = 52321248. Its totient is φ = 8709120.

The previous prime is 23331817. The next prime is 23331823. The reversal of 23331820 is 2813332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23331817) and next prime (23331823).

It is a junction number, because it is equal to n+sod(n) for n = 23331791 and 23331800.

It is not an unprimeable number, because it can be changed into a prime (23331823) 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 15 ways as a sum of consecutive naturals, for example, 55210 + ... + 55630.

It is an arithmetic number, because the mean of its divisors is an integer number (1090026).

Almost surely, 223331820 is an apocalyptic number.

23331820 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 23331820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26160624).

23331820 is an abundant number, since it is smaller than the sum of its proper divisors (28989428).

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

23331820 is a wasteful number, since it uses less digits than its factorization.

23331820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 23331820 is about 4830.3022679745. The cubic root of 23331820 is about 285.7477848817.

The spelling of 23331820 in words is "twenty-three million, three hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 326 340 421 652 815 842 1630 1684 2105 2771 3260 4210 5542 7157 8420 11084 13855 14314 27710 28628 35785 55420 68623 71570 137246 143140 274492 343115 686230 1166591 1372460 2333182 4666364 5832955 11665910 23331820