Search a number
-
+
2422330200 = 23325210712577
BaseRepresentation
bin1001000001100001…
…1101001101011000
320020211001010100100
42100120131031120
514430104031300
61040210535400
7114012316113
oct22030351530
96224033310
102422330200
111033384594
12577297560
132c7b068a4
1418d9d357a
15e29d7700
hex9061d358

2422330200 has 144 divisors (see below), whose sum is σ = 8211673080. Its totient is φ = 639866880.

The previous prime is 2422330199. The next prime is 2422330201. The reversal of 2422330200 is 20332242.

It is an interprime number because it is at equal distance from previous prime (2422330199) and next prime (2422330201).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422330201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186312 + ... + 198888.

Almost surely, 22422330200 is an apocalyptic number.

2422330200 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 2422330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105836540).

2422330200 is an abundant number, since it is smaller than the sum of its proper divisors (5789342880).

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

2422330200 is a wasteful number, since it uses less digits than its factorization.

2422330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12694 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2422330200 is about 49217.1738319055. The cubic root of 2422330200 is about 1343.0054690758.

Adding to 2422330200 its reverse (20332242), we get a palindrome (2442662442).

The spelling of 2422330200 in words is "two billion, four hundred twenty-two million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 7704 8025 9630 10700 12577 12840 16050 19260 21400 24075 25154 32100 37731 38520 48150 50308 62885 64200 75462 96300 100616 113193 125770 150924 188655 192600 226386 251540 301848 314425 377310 452772 503080 565965 628850 754620 905544 943275 1131930 1257700 1345739 1509240 1886550 2263860 2515400 2691478 2829825 3773100 4037217 4527720 5382956 5659650 6728695 7546200 8074434 10765912 11319300 12111651 13457390 16148868 20186085 22638600 24223302 26914780 32297736 33643475 40372170 48446604 53829560 60558255 67286950 80744340 96893208 100930425 121116510 134573900 161488680 201860850 242233020 269147800 302791275 403721700 484466040 605582550 807443400 1211165100 2422330200