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23231322000 = 2432531290629
BaseRepresentation
bin10101101000101100…
…011101011110010000
32012222000211102201100
4111220230131132100
5340034204301000
614401115504400
71451456656515
oct255054353620
965860742640
1023231322000
119941526077
124604158100
132262c920a3
1411a550530c
1590e7a4a00
hex568b1d790

23231322000 has 120 divisors (see below), whose sum is σ = 81139326840. Its totient is φ = 6195014400.

The previous prime is 23231321999. The next prime is 23231322011. The reversal of 23231322000 is 22313232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3532638096 + 19698683904 = 59436^2 + 140352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627315 + ... + 663314.

It is an arithmetic number, because the mean of its divisors is an integer number (676161057).

Almost surely, 223231322000 is an apocalyptic number.

23231322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231322000 is an abundant number, since it is smaller than the sum of its proper divisors (57908004840).

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

23231322000 is a wasteful number, since it uses less digits than its factorization.

23231322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290658 (or 1290639 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23231322000 its reverse (22313232), we get a palindrome (23253635232).

The spelling of 23231322000 in words is "twenty-three billion, two hundred thirty-one million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1290629 2581258 3871887 5162516 6453145 7743774 10325032 11615661 12906290 15487548 19359435 20650064 23231322 25812580 30975096 32265725 38718870 46462644 51625160 58078305 61950192 64531450 77437740 92925288 96797175 103250320 116156610 129062900 154875480 161328625 185850576 193594350 232313220 258125800 290391525 309750960 322657250 387188700 464626440 483985875 516251600 580783050 645314500 774377400 929252880 967971750 1161566100 1290629000 1451957625 1548754800 1935943500 2323132200 2581258000 2903915250 3871887000 4646264400 5807830500 7743774000 11615661000 23231322000