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24252213000 = 2335310317841
BaseRepresentation
bin10110100101100010…
…110110011100001000
32022121011211001220010
4112211202312130020
5344132031304000
615050305031520
71515664260231
oct264542663410
968534731803
1024252213000
11a315818644
12484a0255a0
1323966350c2
141260d30088
1596e210d50
hex5a58b6708

24252213000 has 128 divisors (see below), whose sum is σ = 75749955840. Its totient is φ = 6460160000.

The previous prime is 24252212993. The next prime is 24252213001. The reversal of 24252213000 is 31225242.

It is not an unprimeable number, because it can be changed into a prime (24252213001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089080 + ... + 3096920.

It is an arithmetic number, because the mean of its divisors is an integer number (591796530).

Almost surely, 224252213000 is an apocalyptic number.

24252213000 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 24252213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37874977920).

24252213000 is an abundant number, since it is smaller than the sum of its proper divisors (51497742840).

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

24252213000 is a wasteful number, since it uses less digits than its factorization.

24252213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 24252213000 its reverse (31225242), we get a palindrome (24283438242).

The spelling of 24252213000 in words is "twenty-four billion, two hundred fifty-two million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1031 1500 2062 3000 3093 4124 5155 6186 7841 8248 10310 12372 15465 15682 20620 23523 24744 25775 30930 31364 39205 41240 47046 51550 61860 62728 77325 78410 94092 103100 117615 123720 128875 154650 156820 188184 196025 206200 235230 257750 309300 313640 386625 392050 470460 515500 588075 618600 773250 784100 940920 980125 1031000 1176150 1546500 1568200 1960250 2352300 2940375 3093000 3920500 4704600 5880750 7841000 8084071 11761500 16168142 23523000 24252213 32336284 40420355 48504426 64672568 80840710 97008852 121261065 161681420 194017704 202101775 242522130 323362840 404203550 485044260 606305325 808407100 970088520 1010508875 1212610650 1616814200 2021017750 2425221300 3031526625 4042035500 4850442600 6063053250 8084071000 12126106500 24252213000