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20200240224 = 2532532295779
BaseRepresentation
bin10010110100000001…
…110011010001100000
31221010210022112012100
4102310001303101200
5312332230141344
613140241130400
71313403131433
oct226401632140
957123275170
1020200240224
11862656650a
123ab9029a00
131b9c017388
14d98b2b81a
157d3621569
hex4b4073460

20200240224 has 144 divisors (see below), whose sum is σ = 58794044400. Its totient is φ = 6576380928.

The previous prime is 20200240213. The next prime is 20200240271. The reversal of 20200240224 is 42204200202.

20200240224 is a `hidden beast` number, since 2 + 0 + 200 + 240 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20200240197 and 20200240206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3492567 + ... + 3498345.

It is an arithmetic number, because the mean of its divisors is an integer number (408291975).

Almost surely, 220200240224 is an apocalyptic number.

20200240224 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 20200240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29397022200).

20200240224 is an abundant number, since it is smaller than the sum of its proper divisors (38593804176).

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

20200240224 is a wasteful number, since it uses less digits than its factorization.

20200240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20200240224 its reverse (42204200202), we get a palindrome (62404440426).

The spelling of 20200240224 in words is "twenty billion, two hundred million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 229 288 318 424 458 477 636 687 848 916 954 1272 1374 1696 1832 1908 2061 2544 2748 3664 3816 4122 5088 5496 5779 7328 7632 8244 10992 11558 12137 15264 16488 17337 21984 23116 24274 32976 34674 36411 46232 48548 52011 65952 69348 72822 92464 97096 104022 109233 138696 145644 184928 194192 208044 218466 277392 291288 306287 388384 416088 436932 554784 582576 612574 832176 873864 918861 1165152 1225148 1323391 1664352 1747728 1837722 2450296 2646782 2756583 3495456 3675444 3970173 4900592 5293564 5513166 7350888 7940346 9801184 10587128 11026332 11910519 14701776 15880692 21174256 22052664 23821038 29403552 31761384 42348512 44105328 47642076 63522768 70139723 88210656 95284152 127045536 140279446 190568304 210419169 280558892 381136608 420838338 561117784 631257507 841676676 1122235568 1262515014 1683353352 2244471136 2525030028 3366706704 5050060056 6733413408 10100120112 20200240224