Search a number
-
+
2200000200 = 233528294423
BaseRepresentation
bin1000001100100001…
…0101011011001000
312200022200120220220
42003020111123020
514001200001300
61002145350040
7105342456516
oct20310253310
95608616826
102200000200
11a2992a792
12514938320
13290a31788
1416c27b4b6
15cd21bda0
hex832156c8

2200000200 has 96 divisors (see below), whose sum is σ = 6829771200. Its totient is φ = 585826560.

The previous prime is 2200000199. The next prime is 2200000211. The reversal of 2200000200 is 20000022.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495189 + ... + 499611.

It is an arithmetic number, because the mean of its divisors is an integer number (71143450).

Almost surely, 22200000200 is an apocalyptic number.

2200000200 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 2200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414885600).

2200000200 is an abundant number, since it is smaller than the sum of its proper divisors (4629771000).

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

2200000200 is a wasteful number, since it uses less digits than its factorization.

2200000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2200000200 is about 46904.1597302414. The cubic root of 2200000200 is about 1300.5914862632.

Adding to 2200000200 its reverse (20000022), we get a palindrome (2220000222).

The spelling of 2200000200 in words is "two billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 829 1658 2487 3316 4145 4423 4974 6632 8290 8846 9948 12435 13269 16580 17692 19896 20725 22115 24870 26538 33160 35384 41450 44230 49740 53076 62175 66345 82900 88460 99480 106152 110575 124350 132690 165800 176920 221150 248700 265380 331725 442300 497400 530760 663450 884600 1326900 2653800 3666667 7333334 11000001 14666668 18333335 22000002 29333336 36666670 44000004 55000005 73333340 88000008 91666675 110000010 146666680 183333350 220000020 275000025 366666700 440000040 550000050 733333400 1100000100 2200000200