Search a number
-
+
223331213000 = 23537281113539
BaseRepresentation
bin1100111111111110010…
…0111101111011001000
3210100110100002002220102
43033333210331323020
512124340242304000
6250332534544532
722064232663110
oct3177744757310
9710410062812
10223331213000
1186794713915
1237349208148
13180a1bb725c
14ab4898a040
155c218ab3d5
hex33ff93dec8

223331213000 has 128 divisors (see below), whose sum is σ = 599382201600. Its totient is φ = 76297536000.

The previous prime is 223331212957. The next prime is 223331213003. The reversal of 223331213000 is 312133322.

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

It is not an unprimeable number, because it can be changed into a prime (223331213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910231 + ... + 2023769.

It is an arithmetic number, because the mean of its divisors is an integer number (4682673450).

Almost surely, 2223331213000 is an apocalyptic number.

223331213000 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 223331213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299691100800).

223331213000 is an abundant number, since it is smaller than the sum of its proper divisors (376050988600).

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

223331213000 is a wasteful number, since it uses less digits than its factorization.

223331213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113848 (or 113834 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 223331213000 its reverse (312133322), we get a palindrome (223643346322).

The spelling of 223331213000 in words is "two hundred twenty-three billion, three hundred thirty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 281 350 500 562 700 875 1000 1124 1400 1405 1750 1967 2248 2810 3500 3934 5620 7000 7025 7868 9835 11240 14050 15736 19670 28100 35125 39340 49175 56200 70250 78680 98350 113539 140500 196700 227078 245875 281000 393400 454156 491750 567695 794773 908312 983500 1135390 1589546 1967000 2270780 2838475 3179092 3973865 4541560 5676950 6358184 7947730 11353900 14192375 15895460 19869325 22707800 28384750 31790920 31904459 39738650 56769500 63808918 79477300 99346625 113539000 127617836 158954600 159522295 198693250 223331213 255235672 319044590 397386500 446662426 638089180 794773000 797611475 893324852 1116656065 1276178360 1595222950 1786649704 2233312130 3190445900 3988057375 4466624260 5583280325 6380891800 7976114750 8933248520 11166560650 15952229500 22333121300 27916401625 31904459000 44666242600 55832803250 111665606500 223331213000