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20217472 = 271183173
BaseRepresentation
bin100110100011…
…1111010000000
31102001011011021
41031013322000
520133424342
62001155224
7333563032
oct115077200
942034137
1020217472
1110459760
12692bb14
13425b402
142983c52
151b95567
hex1347e80

20217472 has 64 divisors (see below), whose sum is σ = 44724960. Its totient is φ = 9026560.

The previous prime is 20217467. The next prime is 20217479. The reversal of 20217472 is 27471202.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20217479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116778 + ... + 116950.

Almost surely, 220217472 is an apocalyptic number.

20217472 is a gapful number since it is divisible by the number (22) 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 20217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362480).

20217472 is an abundant number, since it is smaller than the sum of its proper divisors (24507488).

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

20217472 is a wasteful number, since it uses less digits than its factorization.

20217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 20217472 is about 4496.3843252106. The cubic root of 20217472 is about 272.4220667635.

Adding to 20217472 its reverse (27471202), we get a palindrome (47688674).

The spelling of 20217472 in words is "twenty million, two hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 128 166 173 176 332 346 352 664 692 704 913 1328 1384 1408 1826 1903 2656 2768 3652 3806 5312 5536 7304 7612 10624 11072 14359 14608 15224 22144 28718 29216 30448 57436 58432 60896 114872 116864 121792 157949 229744 243584 315898 459488 631796 918976 1263592 1837952 2527184 5054368 10108736 20217472