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23385900 = 22352137569
BaseRepresentation
bin101100100110…
…1011100101100
31122000010102110
41121031130230
521441322100
62153124020
7402530316
oct131153454
948003373
1023385900
111222319a
1279b9610
134aca615
14316a7b6
1520be250
hex164d72c

23385900 has 72 divisors (see below), whose sum is σ = 68276880. Its totient is φ = 6179840.

The previous prime is 23385893. The next prime is 23385953. The reversal of 23385900 is 958332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40816 + ... + 41384.

It is an arithmetic number, because the mean of its divisors is an integer number (948290).

Almost surely, 223385900 is an apocalyptic number.

23385900 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 23385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34138440).

23385900 is an abundant number, since it is smaller than the sum of its proper divisors (44890980).

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

23385900 is a wasteful number, since it uses less digits than its factorization.

23385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 23385900 is about 4835.8970212361. The cubic root of 23385900 is about 285.9683894188.

The spelling of 23385900 in words is "twenty-three million, three hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 569 685 822 1138 1370 1644 1707 2055 2276 2740 2845 3414 3425 4110 5690 6828 6850 8220 8535 10275 11380 13700 14225 17070 20550 28450 34140 41100 42675 56900 77953 85350 155906 170700 233859 311812 389765 467718 779530 935436 1169295 1559060 1948825 2338590 3897650 4677180 5846475 7795300 11692950 23385900