Search a number
-
+
23532050000 = 24552916229
BaseRepresentation
bin10101111010100111…
…101001011001010000
32020201222200222222102
4111322213221121100
5341143201100000
614451021255532
71462101060524
oct257247513120
966658628872
1023532050000
119a86257508
124688a045a8
1322b0386354
1411d3427d84
1592ada93d5
hex57a9e9650

23532050000 has 120 divisors (see below), whose sum is σ = 58956773400. Its totient is φ = 9087680000.

The previous prime is 23532049963. The next prime is 23532050023. The reversal of 23532050000 is 5023532.

It can be written as a sum of positive squares in 12 ways, for example, as 20545208896 + 2986841104 = 143336^2 + 54652^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1441886 + ... + 1458114.

It is an arithmetic number, because the mean of its divisors is an integer number (491306445).

Almost surely, 223532050000 is an apocalyptic number.

23532050000 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 23532050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29478386700).

23532050000 is an abundant number, since it is smaller than the sum of its proper divisors (35424723400).

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

23532050000 is an equidigital number, since it uses as much as digits as its factorization.

23532050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16291 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 23532050000 its reverse (5023532), we get a palindrome (23537073532).

The spelling of 23532050000 in words is "twenty-three billion, five hundred thirty-two million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 5000 5800 6250 7250 10000 11600 12500 14500 16229 18125 25000 29000 32458 36250 50000 58000 64916 72500 81145 90625 129832 145000 162290 181250 259664 290000 324580 362500 405725 470641 649160 725000 811450 941282 1298320 1450000 1622900 1882564 2028625 2353205 3245800 3765128 4057250 4706410 6491600 7530256 8114500 9412820 10143125 11766025 16229000 18825640 20286250 23532050 32458000 37651280 40572500 47064100 50715625 58830125 81145000 94128200 101431250 117660250 162290000 188256400 202862500 235320500 294150625 405725000 470641000 588301250 811450000 941282000 1176602500 1470753125 2353205000 2941506250 4706410000 5883012500 11766025000 23532050000