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1223200 = 255211139
BaseRepresentation
bin100101010101000100000
32022010220201
410222220200
5303120300
642114544
713253116
oct4525040
92263821
101223200
11766010
124aba54
1333a9b4
1423bab6
1519266a
hex12aa20

1223200 has 72 divisors (see below), whose sum is σ = 3281040. Its totient is φ = 441600.

The previous prime is 1223197. The next prime is 1223203. The reversal of 1223200 is 23221.

It is an interprime number because it is at equal distance from previous prime (1223197) and next prime (1223203).

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

It is not an unprimeable number, because it can be changed into a prime (1223203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8731 + ... + 8869.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

21223200 is an apocalyptic number.

1223200 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 1223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640520).

1223200 is an abundant number, since it is smaller than the sum of its proper divisors (2057840).

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

1223200 is a wasteful number, since it uses less digits than its factorization.

1223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1223200 is about 1105.9837250159. The cubic root of 1223200 is about 106.9463148165.

Adding to 1223200 its reverse (23221), we get a palindrome (1246421).

The spelling of 1223200 in words is "one million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 139 160 176 200 220 275 278 352 400 440 550 556 695 800 880 1100 1112 1390 1529 1760 2200 2224 2780 3058 3475 4400 4448 5560 6116 6950 7645 8800 11120 12232 13900 15290 22240 24464 27800 30580 38225 48928 55600 61160 76450 111200 122320 152900 244640 305800 611600 1223200