Search a number
-
+
1222800 = 243521019
BaseRepresentation
bin100101010100010010000
32022010100220
410222202100
5303112200
642113040
713252005
oct4524220
92263326
101222800
11765787
124ab780
1333a767
1423b8ac
151924a0
hex12a890

1222800 has 60 divisors (see below), whose sum is σ = 3920880. Its totient is φ = 325760.

The previous prime is 1222789. The next prime is 1222801. The reversal of 1222800 is 82221.

It is a tau number, because it is divible by the number of its divisors (60).

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 1222800.

It is not an unprimeable number, because it can be changed into a prime (1222801) 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, 691 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (65348).

21222800 is an apocalyptic number.

1222800 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 1222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960440).

1222800 is an abundant number, since it is smaller than the sum of its proper divisors (2698080).

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

1222800 is a wasteful number, since it uses less digits than its factorization.

1222800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

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

The square root of 1222800 is about 1105.8028757423. The cubic root of 1222800 is about 106.9346560008.

The spelling of 1222800 in words is "one million, two hundred twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1019 1200 2038 3057 4076 5095 6114 8152 10190 12228 15285 16304 20380 24456 25475 30570 40760 48912 50950 61140 76425 81520 101900 122280 152850 203800 244560 305700 407600 611400 1222800