Search a number
-
+
30223201200 = 24352191325579
BaseRepresentation
bin11100001001011100…
…010111001110110000
32220000022021200212020
4130021130113032300
5443344114414300
621515004031440
72116646654133
oct341134271660
986008250766
1030223201200
11118aa233435
125a35832580
132b086b390a
141669d4a21a
15bbd5178a0
hex7097173b0

30223201200 has 120 divisors (see below), whose sum is σ = 101910590400. Its totient is φ = 7635329280.

The previous prime is 30223201189. The next prime is 30223201201. The reversal of 30223201200 is 210232203.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30223201200.

It is not an unprimeable number, because it can be changed into a prime (30223201201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 639990 + ... + 685589.

It is an arithmetic number, because the mean of its divisors is an integer number (849254920).

Almost surely, 230223201200 is an apocalyptic number.

30223201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30223201200 is an abundant number, since it is smaller than the sum of its proper divisors (71687389200).

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

30223201200 is a wasteful number, since it uses less digits than its factorization.

30223201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325619 (or 1325608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30223201200 its reverse (210232203), we get a palindrome (30433433403).

The spelling of 30223201200 in words is "thirty billion, two hundred twenty-three million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 1325579 2651158 3976737 5302316 6627895 7953474 10604632 13255790 15906948 19883685 21209264 25186001 26511580 31813896 33139475 39767370 50372002 53023160 63627792 66278950 75558003 79534740 99418425 100744004 106046320 125930005 132557900 151116006 159069480 198836850 201488008 251860010 265115800 302232012 318138960 377790015 397673700 402976016 503720020 530231600 604464024 629650025 755580030 795347400 1007440040 1208928048 1259300050 1511160060 1590694800 1888950075 2014880080 2518600100 3022320120 3777900150 5037200200 6044640240 7555800300 10074400400 15111600600 30223201200