Search a number
-
+
30022003000 = 23531115971709
BaseRepresentation
bin11011111101011100…
…110110100100111000
32212111021200202211001
4123331130312210320
5442441113044000
621443015414344
72111654546353
oct337534664470
985437622731
1030022003000
1111806702230
12599a3843b4
132aa5aca122
14164b33529a
15baaa2346a
hex6fd736938

30022003000 has 128 divisors (see below), whose sum is σ = 76730846400. Its totient is φ = 10903872000.

The previous prime is 30022002953. The next prime is 30022003001. The reversal of 30022003000 is 30022003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30022003001) 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, 17566146 + ... + 17567854.

Almost surely, 230022003000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30022003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365423200).

30022003000 is an abundant number, since it is smaller than the sum of its proper divisors (46708843400).

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

30022003000 is a wasteful number, since it uses less digits than its factorization.

30022003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 30022003000 its reverse (30022003), we get a palindrome (30052025003).

30022003000 divided by its reverse (30022003) gives a cube (1000 = 103).

It can be divided in two parts, 3002 and 2003000, that added together give a palindrome (2006002).

The spelling of 30022003000 in words is "thirty billion, twenty-two million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1597 1709 2200 2750 3194 3418 5500 6388 6836 7985 8545 11000 12776 13672 15970 17090 17567 18799 31940 34180 35134 37598 39925 42725 63880 68360 70268 75196 79850 85450 87835 93995 140536 150392 159700 170900 175670 187990 199625 213625 319400 341800 351340 375980 399250 427250 439175 469975 702680 751960 798500 854500 878350 939950 1597000 1709000 1756700 1879900 2195875 2349875 2729273 3513400 3759800 4391750 4699750 5458546 8783500 9399500 10917092 13646365 17567000 18799000 21834184 27292730 30022003 54585460 60044006 68231825 109170920 120088012 136463650 150110015 240176024 272927300 300220030 341159125 545854600 600440060 682318250 750550075 1200880120 1364636500 1501100150 2729273000 3002200300 3752750375 6004400600 7505500750 15011001500 30022003000