Search a number
-
+
4540223000 = 235323307643
BaseRepresentation
bin1000011101001111…
…00100111000011000
3102201102020020002102
410032213210320120
533244244114000
62030304422532
7220340154515
oct41647447030
912642206072
104540223000
111a1a923815
12a68617a48
1357481a9b1
14310dba30c
151b88d63d5
hex10e9e4e18

4540223000 has 128 divisors (see below), whose sum is σ = 11139448320. Its totient is φ = 1728777600.

The previous prime is 4540222993. The next prime is 4540223063. The reversal of 4540223000 is 3220454.

It is a super-2 number, since 2×45402230002 = 41227249779458000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7060679 + ... + 7061321.

It is an arithmetic number, because the mean of its divisors is an integer number (87026940).

Almost surely, 24540223000 is an apocalyptic number.

4540223000 is a gapful number since it is divisible by the number (40) 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 4540223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569724160).

4540223000 is an abundant number, since it is smaller than the sum of its proper divisors (6599225320).

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

4540223000 is a wasteful number, since it uses less digits than its factorization.

4540223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4540223000 is about 67381.1768968159. The cubic root of 4540223000 is about 1655.8680562257.

Adding to 4540223000 its reverse (3220454), we get a palindrome (4543443454).

The spelling of 4540223000 in words is "four billion, five hundred forty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 307 460 500 575 614 643 920 1000 1150 1228 1286 1535 2300 2456 2572 2875 3070 3215 4600 5144 5750 6140 6430 7061 7675 11500 12280 12860 14122 14789 15350 16075 23000 25720 28244 29578 30700 32150 35305 38375 56488 59156 61400 64300 70610 73945 76750 80375 118312 128600 141220 147890 153500 160750 176525 197401 282440 295780 307000 321500 353050 369725 394802 591560 643000 706100 739450 789604 882625 987005 1412200 1478900 1579208 1765250 1848625 1974010 2957800 3530500 3697250 3948020 4540223 4935025 7061000 7394500 7896040 9080446 9870050 14789000 18160892 19740100 22701115 24675125 36321784 39480200 45402230 49350250 90804460 98700500 113505575 181608920 197401000 227011150 454022300 567527875 908044600 1135055750 2270111500 4540223000