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1228200 = 233522389
BaseRepresentation
bin100101011110110101000
32022101202220
410223312220
5303300300
642154040
713303521
oct4536650
92271686
101228200
11769846
124b2920
1334005c
1423d848
15193da0
hex12bda8

1228200 has 96 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 309760.

The previous prime is 1228193. The next prime is 1228219. The reversal of 1228200 is 28221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1228200.

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 23 ways as a sum of consecutive naturals, for example, 13756 + ... + 13844.

It is an arithmetic number, because the mean of its divisors is an integer number (41850).

21228200 is an apocalyptic number.

1228200 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 1228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1228200 is an abundant number, since it is smaller than the sum of its proper divisors (2789400).

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

1228200 is a wasteful number, since it uses less digits than its factorization.

1228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1228200 is about 1108.2418508611. The cubic root of 1228200 is about 107.0918360252.

The spelling of 1228200 in words is "one million, two hundred twenty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 89 92 100 115 120 138 150 178 184 200 230 267 276 300 345 356 445 460 534 552 575 600 690 712 890 920 1068 1150 1335 1380 1725 1780 2047 2136 2225 2300 2670 2760 3450 3560 4094 4450 4600 5340 6141 6675 6900 8188 8900 10235 10680 12282 13350 13800 16376 17800 20470 24564 26700 30705 40940 49128 51175 53400 61410 81880 102350 122820 153525 204700 245640 307050 409400 614100 1228200