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23423300 = 22522941197
BaseRepresentation
bin101100101011…
…0100101000100
31122002000201122
41121112211010
521444021200
62154013112
7403044335
oct131264504
948060648
1023423300
11122492aa
127a17198
134b11654
14317a28c
1520ca385
hex1656944

23423300 has 72 divisors (see below), whose sum is σ = 54137160. Its totient is φ = 8780800.

The previous prime is 23423293. The next prime is 23423311. The reversal of 23423300 is 332432.

It can be written as a sum of positive squares in 12 ways, for example, as 5053504 + 18369796 = 2248^2 + 4286^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 118802 + ... + 118998.

It is an arithmetic number, because the mean of its divisors is an integer number (751905).

Almost surely, 223423300 is an apocalyptic number.

23423300 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 23423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27068580).

23423300 is an abundant number, since it is smaller than the sum of its proper divisors (30713860).

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

23423300 is a wasteful number, since it uses less digits than its factorization.

23423300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 23423300 is about 4839.7623908618. The cubic root of 23423300 is about 286.1207536121.

Adding to 23423300 its reverse (332432), we get a palindrome (23755732).

The spelling of 23423300 in words is "twenty-three million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 197 205 290 394 410 580 725 788 820 985 1025 1189 1450 1970 2050 2378 2900 3940 4100 4756 4925 5713 5945 8077 9850 11426 11890 16154 19700 22852 23780 28565 29725 32308 40385 57130 59450 80770 114260 118900 142825 161540 201925 234233 285650 403850 468466 571300 807700 936932 1171165 2342330 4684660 5855825 11711650 23423300