Search a number
-
+
24332132000 = 255311250273
BaseRepresentation
bin10110101010010011…
…101101111010100000
32022210202012101011002
4112222103231322200
5344313011211000
615102242011132
71520654465231
oct265223557240
968722171132
1024332132000
11a356943a00
124870946aa8
1323aa067657
14126b7b5088
1597624a8d5
hex5aa4edea0

24332132000 has 144 divisors (see below), whose sum is σ = 65714351976. Its totient is φ = 8847872000.

The previous prime is 24332131991. The next prime is 24332132017. The reversal of 24332132000 is 23123342.

It can be written as a sum of positive squares in 4 ways, for example, as 8529630736 + 15802501264 = 92356^2 + 125708^2 .

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

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, 458864 + ... + 509136.

Almost surely, 224332132000 is an apocalyptic number.

24332132000 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 24332132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32857175988).

24332132000 is an abundant number, since it is smaller than the sum of its proper divisors (41382219976).

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

24332132000 is a wasteful number, since it uses less digits than its factorization.

24332132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50320 (or 50291 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 24332132000 its reverse (23123342), we get a palindrome (24355255342).

The spelling of 24332132000 in words is "twenty-four billion, three hundred thirty-two million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 50273 60500 96800 100546 121000 201092 242000 251365 402184 484000 502730 553003 804368 1005460 1106006 1256825 1608736 2010920 2212012 2513650 2765015 4021840 4424024 5027300 5530030 6083033 6284125 8043680 8848048 10054600 11060060 12166066 12568250 13825075 17696096 20109200 22120120 24332132 25136500 27650150 30415165 40218400 44240240 48664264 50273000 55300300 60830330 69125375 88480480 97328528 100546000 110600600 121660660 138250750 152075825 194657056 201092000 221201200 243321320 276501500 304151650 442402400 486642640 553003000 608303300 760379125 973285280 1106006000 1216606600 1520758250 2212012000 2433213200 3041516500 4866426400 6083033000 12166066000 24332132000