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1200210220 = 2251141271491
BaseRepresentation
bin100011110001001…
…1100000100101100
310002122101222220101
41013202130010230
54424223211340
6315032400444
741512422106
oct10742340454
93078358811
101200210220
1156653a780
12295b46124
13161869081
14b5586576
157057cc9a
hex4789c12c

1200210220 has 96 divisors (see below), whose sum is σ = 2832786432. Its totient is φ = 423360000.

The previous prime is 1200210161. The next prime is 1200210223. The reversal of 1200210220 is 220120021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200210197 and 1200210206.

It is not an unprimeable number, because it can be changed into a prime (1200210223) 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 31 ways as a sum of consecutive naturals, for example, 2444175 + ... + 2444665.

It is an arithmetic number, because the mean of its divisors is an integer number (29508192).

Almost surely, 21200210220 is an apocalyptic number.

1200210220 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 1200210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416393216).

1200210220 is an abundant number, since it is smaller than the sum of its proper divisors (1632576212).

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

1200210220 is a wasteful number, since it uses less digits than its factorization.

1200210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1200210220 is about 34644.0502828408. The cubic root of 1200210220 is about 1062.7206189162.

Adding to 1200210220 its reverse (220120021), we get a palindrome (1420330241).

It can be divided in two parts, 12002 and 10220, that added together give a palindrome (22222).

The spelling of 1200210220 in words is "one billion, two hundred million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 491 542 820 902 982 1084 1355 1804 1964 2255 2455 2710 2981 4510 4910 5401 5420 5962 9020 9820 10802 11111 11924 14905 20131 21604 22222 27005 29810 40262 44444 54010 55555 59620 80524 100655 108020 111110 122221 133061 201310 221441 222220 244442 266122 402620 442882 488884 532244 611105 665305 885764 1107205 1222210 1330610 1463671 2214410 2444420 2661220 2927342 4428820 5455501 5854684 7318355 10911002 14636710 21822004 27277505 29273420 54555010 60010511 109110020 120021022 240042044 300052555 600105110 1200210220