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20331552 = 2532967109
BaseRepresentation
bin100110110001…
…1110000100000
31102020221122110
41031203300200
520201102202
62003435320
7334546443
oct115436040
942227573
1020331552
111052743a
126985b40
13429b307
1429b365a
151bb926c
hex1363c20

20331552 has 96 divisors (see below), whose sum is σ = 56548800. Its totient is φ = 6386688.

The previous prime is 20331551. The next prime is 20331559. The reversal of 20331552 is 25513302.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20331551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186474 + ... + 186582.

It is an arithmetic number, because the mean of its divisors is an integer number (589050).

Almost surely, 220331552 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 20331552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274400).

20331552 is an abundant number, since it is smaller than the sum of its proper divisors (36217248).

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

20331552 is a wasteful number, since it uses less digits than its factorization.

20331552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 20331552 is about 4509.0522285731. The cubic root of 20331552 is about 272.9334996150.

Adding to 20331552 its reverse (25513302), we get a palindrome (45844854).

The spelling of 20331552 in words is "twenty million, three hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 67 87 96 109 116 134 174 201 218 232 268 327 348 402 436 464 536 654 696 804 872 928 1072 1308 1392 1608 1744 1943 2144 2616 2784 3161 3216 3488 3886 5232 5829 6322 6432 7303 7772 9483 10464 11658 12644 14606 15544 18966 21909 23316 25288 29212 31088 37932 43818 46632 50576 58424 62176 75864 87636 93264 101152 116848 151728 175272 186528 211787 233696 303456 350544 423574 635361 701088 847148 1270722 1694296 2541444 3388592 5082888 6777184 10165776 20331552