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23143800 = 23352172269
BaseRepresentation
bin101100001001…
…0010101111000
31121112211022210
41120102111320
521411100200
62144015120
7400501431
oct130222570
947484283
1023143800
1112078309
1279014a0
134a44374
143106488
152072650
hex1612578

23143800 has 96 divisors (see below), whose sum is σ = 75999600. Its totient is φ = 5806080.

The previous prime is 23143793. The next prime is 23143801. The reversal of 23143800 is 834132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23143801) by changing a digit.

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, 9066 + ... + 11334.

Almost surely, 223143800 is an apocalyptic number.

23143800 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 23143800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37999800).

23143800 is an abundant number, since it is smaller than the sum of its proper divisors (52855800).

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

23143800 is a wasteful number, since it uses less digits than its factorization.

23143800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 23143800 is about 4810.8003492143. The cubic root of 23143800 is about 284.9781454464.

Adding to 23143800 its reverse (834132), we get a palindrome (23977932).

The spelling of 23143800 in words is "twenty-three million, one hundred forty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2269 2550 3400 4538 5100 6807 9076 10200 11345 13614 18152 22690 27228 34035 38573 45380 54456 56725 68070 77146 90760 113450 115719 136140 154292 170175 192865 226900 231438 272280 308584 340350 385730 453800 462876 578595 680700 771460 925752 964325 1157190 1361400 1542920 1928650 2314380 2892975 3857300 4628760 5785950 7714600 11571900 23143800