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23235000 = 233541549
BaseRepresentation
bin101100010100…
…0100110111000
31121201110102120
41120220212320
521422010000
62150001240
7401331345
oct130504670
947643376
1023235000
111212a888
127946220
134a76a29
14312b7cc
15208e6a0
hex16289b8

23235000 has 80 divisors (see below), whose sum is σ = 72633000. Its totient is φ = 6192000.

The previous prime is 23234999. The next prime is 23235011. The reversal of 23235000 is 53232.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 14226 + ... + 15774.

Almost surely, 223235000 is an apocalyptic number.

23235000 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 23235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36316500).

23235000 is an abundant number, since it is smaller than the sum of its proper divisors (49398000).

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

23235000 is a wasteful number, since it uses less digits than its factorization.

23235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 23235000 is about 4820.2697019980. The cubic root of 23235000 is about 285.3519812445.

Adding to 23235000 its reverse (53232), we get a palindrome (23288232).

The spelling of 23235000 in words is "twenty-three million, two hundred thirty-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 1549 1875 2500 3000 3098 3750 4647 5000 6196 7500 7745 9294 12392 15000 15490 18588 23235 30980 37176 38725 46470 61960 77450 92940 116175 154900 185880 193625 232350 309800 387250 464700 580875 774500 929400 968125 1161750 1549000 1936250 2323500 2904375 3872500 4647000 5808750 7745000 11617500 23235000