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1050220200 = 233525633109
BaseRepresentation
bin111110100110010…
…001011010101000
32201012011201021110
4332212101122220
54122324021300
6252113510320
735011503321
oct7646213250
92635151243
101050220200
11499904a87
122538723a0
13139771893
149d6a1448
1562301550
hex3e9916a8

1050220200 has 96 divisors (see below), whose sum is σ = 3262514400. Its totient is φ = 279471360.

The previous prime is 1050220187. The next prime is 1050220229. The reversal of 1050220200 is 20220501.

1050220200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10502202002 = 2205924936976080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 336246 + ... + 339354.

It is an arithmetic number, because the mean of its divisors is an integer number (33984525).

Almost surely, 21050220200 is an apocalyptic number.

1050220200 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 1050220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631257200).

1050220200 is an abundant number, since it is smaller than the sum of its proper divisors (2212294200).

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

1050220200 is a wasteful number, since it uses less digits than its factorization.

1050220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1050220200 is about 32407.1010736845. The cubic root of 1050220200 is about 1016.4674027940.

Adding to 1050220200 its reverse (20220501), we get a palindrome (1070440701).

The spelling of 1050220200 in words is "one billion, fifty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 563 600 1126 1689 2252 2815 3109 3378 4504 5630 6218 6756 8445 9327 11260 12436 13512 14075 15545 16890 18654 22520 24872 28150 31090 33780 37308 42225 46635 56300 62180 67560 74616 77725 84450 93270 112600 124360 155450 168900 186540 233175 310900 337800 373080 466350 621800 932700 1750367 1865400 3500734 5251101 7001468 8751835 10502202 14002936 17503670 21004404 26255505 35007340 42008808 43759175 52511010 70014680 87518350 105022020 131277525 175036700 210044040 262555050 350073400 525110100 1050220200