Search a number
-
+
632808220 = 2251121092399
BaseRepresentation
bin100101101101111…
…110001100011100
31122002201222200111
4211231332030130
52243444330340
6142443135404
721452531632
oct4555761434
91562658614
10632808220
112a5227200
12157b14564
13a1144b45
1460087352
153a84daea
hex25b7e31c

632808220 has 72 divisors (see below), whose sum is σ = 1474704000. Its totient is φ = 227905920.

The previous prime is 632808193. The next prime is 632808263. The reversal of 632808220 is 22808236.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262581 + ... + 264979.

It is an arithmetic number, because the mean of its divisors is an integer number (20482000).

Almost surely, 2632808220 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 632808220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737352000).

632808220 is an abundant number, since it is smaller than the sum of its proper divisors (841895780).

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

632808220 is a wasteful number, since it uses less digits than its factorization.

632808220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 632808220 is about 25155.6796767648. The cubic root of 632808220 is about 858.5337463543.

The spelling of 632808220 in words is "six hundred thirty-two million, eight hundred eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 121 218 220 242 436 484 545 605 1090 1199 1210 2180 2398 2399 2420 4796 4798 5995 9596 11990 11995 13189 23980 23990 26378 26389 47980 52756 52778 65945 105556 131890 131945 261491 263780 263890 290279 522982 527780 580558 1045964 1161116 1307455 1451395 2614910 2876401 2902790 5229820 5752802 5805580 11505604 14382005 28764010 31640411 57528020 63280822 126561644 158202055 316404110 632808220