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20660224 = 2141397
BaseRepresentation
bin100111011010…
…0000000000000
31102212122111111
41032310000000
520242111344
62014453104
7340415614
oct116640000
942778444
1020660224
1110731372
126b04194
134384ab0
142a5b344
151c31834
hex13b4000

20660224 has 60 divisors (see below), whose sum is σ = 44956324. Its totient is φ = 9437184.

The previous prime is 20660203. The next prime is 20660231. The reversal of 20660224 is 42206602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 14745600 = 2432^2 + 3840^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20660195 and 20660204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212944 + ... + 213040.

Almost surely, 220660224 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 20660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478162).

20660224 is an abundant number, since it is smaller than the sum of its proper divisors (24296100).

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

20660224 is an frugal number, since it uses more digits than its factorization.

20660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 20660224 is about 4545.3519115686. The cubic root of 20660224 is about 274.3963574784.

Adding to 20660224 its reverse (42206602), we get a palindrome (62866826).

The spelling of 20660224 in words is "twenty million, six hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 512 776 832 1024 1261 1552 1664 2048 2522 3104 3328 4096 5044 6208 6656 8192 10088 12416 13312 16384 20176 24832 26624 40352 49664 53248 80704 99328 106496 161408 198656 212992 322816 397312 645632 794624 1291264 1589248 2582528 5165056 10330112 20660224