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20201160224 = 257231341161
BaseRepresentation
bin10010110100000101…
…010011111000100000
31221010212001021012102
4102310011103320200
5312332444111344
613140312545532
71313414012600
oct226405237040
957125037172
1020201160224
118627034743
123ab93b22a8
131b9c27a05b
14d98ccac00
157d3753e4e
hex4b4153e20

20201160224 has 72 divisors (see below), whose sum is σ = 46413200988. Its totient is φ = 8629770240.

The previous prime is 20201160223. The next prime is 20201160229. The reversal of 20201160224 is 42206110202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19062772624 + 1138387600 = 138068^2 + 33740^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20201160196 and 20201160205.

It is not an unprimeable number, because it can be changed into a prime (20201160223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470204 + ... + 511364.

Almost surely, 220201160224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206600494).

20201160224 is an abundant number, since it is smaller than the sum of its proper divisors (26212040764).

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

20201160224 is a wasteful number, since it uses less digits than its factorization.

20201160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41498 (or 41483 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20201160224 its reverse (42206110202), we get a palindrome (62407270426).

The spelling of 20201160224 in words is "twenty billion, two hundred one million, one hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 313 392 626 784 1252 1568 2191 2504 4382 5008 8764 10016 15337 17528 30674 35056 41161 61348 70112 82322 122696 164644 245392 288127 329288 490784 576254 658576 1152508 1317152 2016889 2305016 4033778 4610032 8067556 9220064 12883393 16135112 25766786 32270224 51533572 64540448 90183751 103067144 180367502 206134288 360735004 412268576 631286257 721470008 1262572514 1442940016 2525145028 2885880032 5050290056 10100580112 20201160224