Search a number
-
+
3022123020 = 2235725211973
BaseRepresentation
bin1011010000100001…
…1111000000001100
321210121122202102020
42310020133000030
522142130414040
61215514330140
7134614423200
oct26410370014
97717582366
103022123020
111310a00834
12704129950
1339215c097
14209524b00
1512a4b3cd0
hexb421f00c

3022123020 has 144 divisors (see below), whose sum is σ = 9867378528. Its totient is φ = 689095680.

The previous prime is 3022123003. The next prime is 3022123021. The reversal of 3022123020 is 203212203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3022123021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530754 + ... + 1532726.

It is an arithmetic number, because the mean of its divisors is an integer number (68523462).

Almost surely, 23022123020 is an apocalyptic number.

3022123020 is a gapful number since it is divisible by the number (30) 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 3022123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933689264).

3022123020 is an abundant number, since it is smaller than the sum of its proper divisors (6845255508).

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

3022123020 is a wasteful number, since it uses less digits than its factorization.

3022123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3022123020 is about 54973.8394147616. The cubic root of 3022123020 is about 1445.7861041987.

Adding to 3022123020 its reverse (203212203), we get a palindrome (3225335223).

The spelling of 3022123020 in words is "three billion, twenty-two million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 521 588 735 980 1042 1470 1563 1973 2084 2605 2940 3126 3647 3946 5210 5919 6252 7294 7815 7892 9865 10420 10941 11838 13811 14588 15630 18235 19730 21882 23676 25529 27622 29595 31260 36470 39460 41433 43764 51058 54705 55244 59190 69055 72940 76587 82866 96677 102116 109410 118380 127645 138110 153174 165732 193354 207165 218820 255290 276220 290031 306348 382935 386708 414330 483385 510580 580062 765870 828660 966770 1027933 1160124 1450155 1531740 1933540 2055866 2900310 3083799 4111732 5139665 5800620 6167598 7195531 10279330 12335196 14391062 15418995 20558660 21586593 28782124 30837990 35977655 43173186 50368717 61675980 71955310 86346372 100737434 107932965 143910620 151106151 201474868 215865930 251843585 302212302 431731860 503687170 604424604 755530755 1007374340 1511061510 3022123020