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201133330224 = 24337130187049
BaseRepresentation
bin1011101101010001111…
…0110000111100110000
3201020011022211211021220
42323110132300330300
511243410113031344
6232222133145040
720350162045521
oct2732436607460
9636138754256
10201133330224
1178333580a52
1232b9318b180
1315c7506c888
149a40818848
155372be0c19
hex2ed47b0f30

201133330224 has 80 divisors (see below), whose sum is σ = 534053839200. Its totient is φ = 65181542400.

The previous prime is 201133330219. The next prime is 201133330253. The reversal of 201133330224 is 422033331102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201133330194 and 201133330203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267052 + ... + 2354100.

It is an arithmetic number, because the mean of its divisors is an integer number (6675672990).

Almost surely, 2201133330224 is an apocalyptic number.

201133330224 is a gapful number since it is divisible by the number (24) 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 201133330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267026919600).

201133330224 is an abundant number, since it is smaller than the sum of its proper divisors (332920508976).

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

201133330224 is a wasteful number, since it uses less digits than its factorization.

201133330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88398 (or 88392 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 201133330224 its reverse (422033331102), we get a palindrome (623166661326).

The spelling of 201133330224 in words is "two hundred one billion, one hundred thirty-three million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1301 1776 2602 3903 5204 7806 10408 15612 20816 31224 48137 62448 87049 96274 144411 174098 192548 261147 288822 348196 385096 522294 577644 696392 770192 1044588 1155288 1392784 2089176 2310576 3220813 4178352 6441626 9662439 12883252 19324878 25766504 38649756 51533008 77299512 113250749 154599024 226501498 339752247 453002996 679504494 906005992 1359008988 1812011984 2718017976 4190277713 5436035952 8380555426 12570833139 16761110852 25141666278 33522221704 50283332556 67044443408 100566665112 201133330224