Search a number
-
+
682052220 = 223254192419
BaseRepresentation
bin101000101001110…
…100101001111100
31202112101211202100
4220221310221330
52344101132340
6151402425100
722621230303
oct5051645174
91675354670
10682052220
11320000a23
12170502190
13ab3c70c5
146682543a
153ed29830
hex28a74a7c

682052220 has 72 divisors (see below), whose sum is σ = 2119375440. Its totient is φ = 177442560.

The previous prime is 682052207. The next prime is 682052227. The reversal of 682052220 is 22250286.

682052220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682052227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38830 + ... + 53589.

It is an arithmetic number, because the mean of its divisors is an integer number (29435770).

Almost surely, 2682052220 is an apocalyptic number.

682052220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682052220 is an abundant number, since it is smaller than the sum of its proper divisors (1437323220).

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

682052220 is a wasteful number, since it uses less digits than its factorization.

682052220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92475 (or 92470 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 682052220 is about 26116.1294988365. The cubic root of 682052220 is about 880.2496794969.

The spelling of 682052220 in words is "six hundred eighty-two million, fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 92419 184838 277257 369676 462095 554514 831771 924190 1109028 1386285 1663542 1848380 2772570 3327084 3789179 4158855 5545140 7578358 8317710 11367537 15156716 16635420 18945895 22735074 34102611 37891790 45470148 56837685 68205222 75783580 113675370 136410444 170513055 227350740 341026110 682052220