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2220531040 = 255721321787
BaseRepresentation
bin1000010001011010…
…1001110101100000
312201202022122221101
42010112221311200
514021423443130
61004201404144
7106012126300
oct20426516540
95652278841
102220531040
11a3a482922
1251b799654
1329506c6c0
14170ca3600
15cee251ca
hex845a9d60

2220531040 has 144 divisors (see below), whose sum is σ = 6572219472. Its totient is φ = 702729216.

The previous prime is 2220531037. The next prime is 2220531097. The reversal of 2220531040 is 401350222.

It is a junction number, because it is equal to n+sod(n) for n = 2220530999 and 2220531017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91027 + ... + 112813.

It is an arithmetic number, because the mean of its divisors is an integer number (45640413).

Almost surely, 22220531040 is an apocalyptic number.

2220531040 is a gapful number since it is divisible by the number (20) 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 2220531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286109736).

2220531040 is an abundant number, since it is smaller than the sum of its proper divisors (4351688432).

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

2220531040 is a wasteful number, since it uses less digits than its factorization.

2220531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21829 (or 21814 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2220531040 is about 47122.5109687504. The cubic root of 2220531040 is about 1304.6247586495.

Adding to 2220531040 its reverse (401350222), we get a palindrome (2621881262).

The spelling of 2220531040 in words is "two billion, two hundred twenty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1456 1568 1820 1960 2080 2548 2912 3185 3640 3920 5096 6370 7280 7840 10192 12740 14560 20384 21787 25480 43574 50960 87148 101920 108935 152509 174296 217870 283231 305018 348592 435740 566462 610036 697184 762545 871480 1067563 1132924 1220072 1416155 1525090 1742960 1982617 2135126 2265848 2440144 2832310 3050180 3485920 3965234 4270252 4531696 4880288 5337815 5664620 6100360 7930468 8540504 9063392 9913085 10675630 11329240 12200720 13878319 15860936 17081008 19826170 21351260 22658480 24401440 27756638 31721872 34162016 39652340 42702520 45316960 55513276 63443744 69391595 79304680 85405040 111026552 138783190 158609360 170810080 222053104 277566380 317218720 444106208 555132760 1110265520 2220531040