Search a number
-
+
12214044200 = 2352237393593
BaseRepresentation
bin10110110000000001…
…11000011000101000
31011112012212201210102
423120000320120220
5200003243403300
65335553204532
7611450443211
oct133000703050
934465781712
1012214044200
1151a8567206
12244a560748
1311c85c83b7
1483c218408
154b74510d5
hex2d8038628

12214044200 has 96 divisors (see below), whose sum is σ = 29680689600. Its totient is φ = 4665576960.

The previous prime is 12214044181. The next prime is 12214044209. The reversal of 12214044200 is 244041221.

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 (12214044209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397604 + ... + 3401196.

It is an arithmetic number, because the mean of its divisors is an integer number (309173850).

Almost surely, 212214044200 is an apocalyptic number.

12214044200 is a gapful number since it is divisible by the number (10) 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 12214044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840344800).

12214044200 is an abundant number, since it is smaller than the sum of its proper divisors (17466645400).

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

12214044200 is a wasteful number, since it uses less digits than its factorization.

12214044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12214044200 its reverse (244041221), we get a palindrome (12458085421).

The spelling of 12214044200 in words is "twelve billion, two hundred fourteen million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 739 920 1150 1478 2300 2956 3593 3695 4600 5912 7186 7390 14372 14780 16997 17965 18475 28744 29560 33994 35930 36950 67988 71860 73900 82639 84985 89825 135976 143720 147800 165278 169970 179650 330556 339940 359300 413195 424925 661112 679880 718600 826390 849850 1652780 1699700 2065975 2655227 3305560 3399400 4131950 5310454 8263900 10620908 13276135 16527800 21241816 26552270 53104540 61070221 66380675 106209080 122140442 132761350 244280884 265522700 305351105 488561768 531045400 610702210 1221404420 1526755525 2442808840 3053511050 6107022100 12214044200