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23121800 = 2352138893
BaseRepresentation
bin101100000110…
…0111110001000
31121111201010222
41120030332020
521404344200
62143325212
7400350332
oct130147610
947451128
1023121800
1112062829
1278b0808
134a37350
1430dc452
15206ad85
hex160cf88

23121800 has 48 divisors (see below), whose sum is σ = 57899940. Its totient is φ = 8536320.

The previous prime is 23121797. The next prime is 23121817. The reversal of 23121800 is 812132.

It can be written as a sum of positive squares in 6 ways, for example, as 1350244 + 21771556 = 1162^2 + 4666^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1847 + ... + 7046.

Almost surely, 223121800 is an apocalyptic number.

23121800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121800 is an abundant number, since it is smaller than the sum of its proper divisors (34778140).

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

23121800 is a wasteful number, since it uses less digits than its factorization.

23121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 23121800 is about 4808.5132837500. The cubic root of 23121800 is about 284.8878187814.

Adding to 23121800 its reverse (812132), we get a palindrome (23933932).

It can be divided in two parts, 2312 and 1800, that multiplied together give a square (4161600 = 20402).

The spelling of 23121800 in words is "twenty-three million, one hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 8893 17786 35572 44465 71144 88930 115609 177860 222325 231218 355720 444650 462436 578045 889300 924872 1156090 1778600 2312180 2890225 4624360 5780450 11560900 23121800