Search a number
-
+
3204222030 = 233561257757
BaseRepresentation
bin1011111011111100…
…1000110001001110
322021022022100022000
42332333020301032
523030240101110
61245541333130
7142255303122
oct27677106116
98238270260
103204222030
1113a4777489
127551071a6
133c0ab9489
142257a7582
1513b4841c0
hexbefc8c4e

3204222030 has 128 divisors (see below), whose sum is σ = 8729976960. Its totient is φ = 836075520.

The previous prime is 3204222029. The next prime is 3204222053. The reversal of 3204222030 is 302224023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3204221994 and 3204222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4232412 + ... + 4233168.

It is an arithmetic number, because the mean of its divisors is an integer number (68202945).

Almost surely, 23204222030 is an apocalyptic number.

3204222030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204222030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364988480).

3204222030 is an abundant number, since it is smaller than the sum of its proper divisors (5525754930).

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

3204222030 is a wasteful number, since it uses less digits than its factorization.

3204222030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3204222030 is about 56605.8480194405. The cubic root of 3204222030 is about 1474.2604017857.

Adding to 3204222030 its reverse (302224023), we get a palindrome (3506446053).

The spelling of 3204222030 in words is "three billion, two hundred four million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 257 270 305 366 514 549 610 757 771 915 1098 1285 1514 1542 1647 1830 2271 2313 2570 2745 3294 3785 3855 4542 4626 5490 6813 6939 7570 7710 8235 11355 11565 13626 13878 15677 16470 20439 22710 23130 31354 34065 34695 40878 46177 47031 68130 69390 78385 92354 94062 102195 138531 141093 156770 194549 204390 230885 235155 277062 282186 389098 415593 423279 461770 470310 583647 692655 705465 831186 846558 972745 1167294 1246779 1385310 1410930 1750941 1945490 2077965 2116395 2493558 2918235 3501882 4155930 4232790 5252823 5836470 6233895 8754705 10505646 11867489 12467790 17509410 23734978 26264115 35602467 52528230 59337445 71204934 106807401 118674890 178012335 213614802 320422203 356024670 534037005 640844406 1068074010 1602111015 3204222030