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4532213000 = 235371673877
BaseRepresentation
bin1000011100010010…
…00001010100001000
3102200212011021102202
410032021001110020
533240221304000
62025421015332
7220212113660
oct41611012410
912625137382
104532213000
111a16352787
12a659b4548
13572c74b53
1430dcd31a0
151b7d52dd5
hex10e241508

4532213000 has 128 divisors (see below), whose sum is σ = 12196154880. Its totient is φ = 1544198400.

The previous prime is 4532212981. The next prime is 4532213111. The reversal of 4532213000 is 3122354.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1167062 + ... + 1170938.

It is an arithmetic number, because the mean of its divisors is an integer number (95282460).

Almost surely, 24532213000 is an apocalyptic number.

4532213000 is a gapful number since it is divisible by the number (40) 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 4532213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098077440).

4532213000 is an abundant number, since it is smaller than the sum of its proper divisors (7663941880).

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

4532213000 is a wasteful number, since it uses less digits than its factorization.

4532213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4532213000 is about 67321.7126936028. The cubic root of 4532213000 is about 1654.8937053518.

Adding to 4532213000 its reverse (3122354), we get a palindrome (4535335354).

The spelling of 4532213000 in words is "four billion, five hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 167 175 200 250 280 334 350 500 668 700 835 875 1000 1169 1336 1400 1670 1750 2338 3340 3500 3877 4175 4676 5845 6680 7000 7754 8350 9352 11690 15508 16700 19385 20875 23380 27139 29225 31016 33400 38770 41750 46760 54278 58450 77540 83500 96925 108556 116900 135695 146125 155080 167000 193850 217112 233800 271390 292250 387700 484625 542780 584500 647459 678475 775400 969250 1085560 1169000 1294918 1356950 1938500 2589836 2713900 3237295 3392375 3877000 4532213 5179672 5427800 6474590 6784750 9064426 12949180 13569500 16186475 18128852 22661065 25898360 27139000 32372950 36257704 45322130 64745900 80932375 90644260 113305325 129491800 161864750 181288520 226610650 323729500 453221300 566526625 647459000 906442600 1133053250 2266106500 4532213000