Search a number
-
+
220022223000 = 23353193860039
BaseRepresentation
bin1100110011101001011…
…0001011000010011000
3210000220201121222222020
43030322112023002120
512101101142114000
6245024331454440
721616233015666
oct3147226130230
9700821558866
10220022223000
1185346899738
1236784bb7420
13179954a7cc8
14a91330dc36
155acb12eba0
hex333a58b098

220022223000 has 128 divisors (see below), whose sum is σ = 722599488000. Its totient is φ = 55584547200.

The previous prime is 220022222999. The next prime is 220022223041. The reversal of 220022223000 is 322220022.

It is a super-2 number, since 2×2200222230002 (a number of 23 digits) contains 22 as substring.

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

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, 1873020 + ... + 1987019.

It is an arithmetic number, because the mean of its divisors is an integer number (5645308500).

Almost surely, 2220022223000 is an apocalyptic number.

220022223000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220022223000 is an abundant number, since it is smaller than the sum of its proper divisors (502577265000).

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

220022223000 is a wasteful number, since it uses less digits than its factorization.

220022223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860082 (or 3860068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 220022223000 its reverse (322220022), we get a palindrome (220344443022).

It can be divided in two parts, 2200222 and 23000, that added together give a palindrome (2223222).

The spelling of 220022223000 in words is "two hundred twenty billion, twenty-two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 3860039 7720078 11580117 15440156 19300195 23160234 30880312 38600390 46320468 57900585 73340741 77200780 92640936 96500975 115801170 146681482 154401560 193001950 220022223 231602340 289502925 293362964 366703705 386003900 440044446 463204680 482504875 579005850 586725928 733407410 772007800 880088892 965009750 1100111115 1158011700 1447514625 1466814820 1760177784 1833518525 1930019500 2200222230 2316023400 2895029250 2933629640 3667037050 3860039000 4400444460 5500555575 5790058500 7334074100 8800888920 9167592625 11001111150 11580117000 14668148200 18335185250 22002222300 27502777875 36670370500 44004444600 55005555750 73340741000 110011111500 220022223000