Search a number
-
+
2200224200 = 2352292103127
BaseRepresentation
bin1000001100100100…
…1100000111001000
312200100002222012012
42003021030013020
514001224133300
61002154235052
7105344411546
oct20311140710
95610088165
102200224200
11a29a73009
12514a25a88
13290aac715
1416c2d8d96
15cd263435
hex8324c1c8

2200224200 has 144 divisors (see below), whose sum is σ = 5391559680. Its totient is φ = 834865920.

The previous prime is 2200224199. The next prime is 2200224211. The reversal of 2200224200 is 24220022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17324537 + ... + 17324663.

Almost surely, 22200224200 is an apocalyptic number.

2200224200 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 2200224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695779840).

2200224200 is an abundant number, since it is smaller than the sum of its proper divisors (3191335480).

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

2200224200 is a wasteful number, since it uses less digits than its factorization.

2200224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2200224200 is about 46906.5475173776. The cubic root of 2200224200 is about 1300.6356260480.

Adding to 2200224200 its reverse (24220022), we get a palindrome (2224444222).

The spelling of 2200224200 in words is "two billion, two hundred million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 103 116 127 145 200 206 232 254 290 412 508 515 580 635 725 824 841 1016 1030 1160 1270 1450 1682 2060 2540 2575 2900 2987 3175 3364 3683 4120 4205 5080 5150 5800 5974 6350 6728 7366 8410 10300 11948 12700 13081 14732 14935 16820 18415 20600 21025 23896 25400 26162 29464 29870 33640 36830 42050 52324 59740 65405 73660 74675 84100 86623 92075 104648 106807 119480 130810 147320 149350 168200 173246 184150 213614 261620 298700 327025 346492 368300 379349 427228 433115 523240 534035 597400 654050 692984 736600 758698 854456 866230 1068070 1308100 1517396 1732460 1896745 2136140 2165575 2616200 2670175 3034792 3464920 3793490 4272280 4331150 5340350 7586980 8662300 9483725 10680700 11001121 15173960 17324600 18967450 21361400 22002242 37934900 44004484 55005605 75869800 88008968 110011210 220022420 275028025 440044840 550056050 1100112100 2200224200