Search a number
-
+
1202200200 = 2332526110949
BaseRepresentation
bin100011110101000…
…0001111010001000
310002210011002122100
41013222001322020
54430230401300
6315143153400
741535350565
oct10752017210
93083132570
101202200200
11567679893
12296745860
131620b4a86
14b594386c
1570822700
hex47a81e88

1202200200 has 144 divisors (see below), whose sum is σ = 4103950500. Its totient is φ = 315302400.

The previous prime is 1202200199. The next prime is 1202200201. The reversal of 1202200200 is 20022021.

It is an interprime number because it is at equal distance from previous prime (1202200199) and next prime (1202200201).

It can be written as a sum of positive squares in 6 ways, for example, as 4901796 + 1197298404 = 2214^2 + 34602^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1202200201) 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, 104326 + ... + 115274.

Almost surely, 21202200200 is an apocalyptic number.

1202200200 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 1202200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051975250).

1202200200 is an abundant number, since it is smaller than the sum of its proper divisors (2901750300).

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

1202200200 is a wasteful number, since it uses less digits than its factorization.

1202200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1202200200 is about 34672.7587595795. The cubic root of 1202200200 is about 1063.3076341527.

Adding to 1202200200 its reverse (20022021), we get a palindrome (1222222221).

The spelling of 1202200200 in words is "one billion, two hundred two million, two hundred 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 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1098 1220 1464 1525 1800 1830 2196 2440 2745 3050 3660 4392 4575 5490 6100 7320 9150 10949 10980 12200 13725 18300 21898 21960 27450 32847 36600 43796 54745 54900 65694 87592 98541 109490 109800 131388 164235 197082 218980 262776 273725 328470 394164 437960 492705 547450 656940 667889 788328 821175 985410 1094900 1313880 1335778 1642350 1970820 2003667 2189800 2463525 2671556 3284700 3339445 3941640 4007334 4927050 5343112 6011001 6569400 6678890 8014668 9854100 10018335 12022002 13357780 16029336 16697225 19708200 20036670 24044004 26715560 30055005 33394450 40073340 48088008 50091675 60110010 66788900 80146680 100183350 120220020 133577800 150275025 200366700 240440040 300550050 400733400 601100100 1202200200