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3002032220 = 22511231095443
BaseRepresentation
bin1011001011101111…
…0110000001011100
321202012212001000112
42302323312001130
522122010012340
61213515545152
7134251565345
oct26273660134
97665761015
103002032220
111300629270
126b945b1b8
1338ac46535
142069b50cc
15128846065
hexb2ef605c

3002032220 has 96 divisors (see below), whose sum is σ = 7243568640. Its totient is φ = 1034415360.

The previous prime is 3002032213. The next prime is 3002032249. The reversal of 3002032220 is 222302003.

It is a junction number, because it is equal to n+sod(n) for n = 3002032195 and 3002032204.

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 31 ways as a sum of consecutive naturals, for example, 548819 + ... + 554261.

It is an arithmetic number, because the mean of its divisors is an integer number (75453840).

Almost surely, 23002032220 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 3002032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621784320).

3002032220 is an abundant number, since it is smaller than the sum of its proper divisors (4241536420).

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

3002032220 is a wasteful number, since it uses less digits than its factorization.

3002032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3002032220 is about 54790.8041554420. The cubic root of 3002032220 is about 1442.5751599576.

Adding to 3002032220 its reverse (222302003), we get a palindrome (3224334223).

The spelling of 3002032220 in words is "three billion, two million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 109 110 115 218 220 230 253 436 460 506 545 1012 1090 1199 1265 2180 2398 2507 2530 4796 5014 5060 5443 5995 10028 10886 11990 12535 21772 23980 25070 27215 27577 50140 54430 55154 59873 108860 110308 119746 125189 137885 239492 250378 275770 299365 500756 551540 593287 598730 625945 1186574 1197460 1251890 1377079 2373148 2503780 2754158 2966435 5508316 5932870 6526157 6885395 11865740 13052314 13645601 13770790 26104628 27291202 27541580 32630785 54582404 65261570 68228005 130523140 136456010 150101611 272912020 300203222 600406444 750508055 1501016110 3002032220