Search a number
-
+
23385000 = 233541559
BaseRepresentation
bin101100100110…
…1001110101000
31122000002012010
41121031032220
521441310000
62153115520
7402524562
oct131151650
948002163
1023385000
1112222551
1279b8ba0
134aca0a2
14316a332
1520bdd50
hex164d3a8

23385000 has 80 divisors (see below), whose sum is σ = 73101600. Its totient is φ = 6232000.

The previous prime is 23384989. The next prime is 23385007. The reversal of 23385000 is 58332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23385007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14221 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (913770).

Almost surely, 223385000 is an apocalyptic number.

23385000 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 23385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36550800).

23385000 is an abundant number, since it is smaller than the sum of its proper divisors (49716600).

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

23385000 is a wasteful number, since it uses less digits than its factorization.

23385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 23385000 is about 4835.8039662501. The cubic root of 23385000 is about 285.9647208998.

The spelling of 23385000 in words is "twenty-three million, three hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1559 1875 2500 3000 3118 3750 4677 5000 6236 7500 7795 9354 12472 15000 15590 18708 23385 31180 37416 38975 46770 62360 77950 93540 116925 155900 187080 194875 233850 311800 389750 467700 584625 779500 935400 974375 1169250 1559000 1948750 2338500 2923125 3897500 4677000 5846250 7795000 11692500 23385000