Search a number
-
+
1122200 = 235231181
BaseRepresentation
bin100010001111110011000
32010000100222
410101332120
5241402300
640015212
712352502
oct4217630
92100328
101122200
116a7142
12461508
13303a31
14212d72
15172785
hex111f98

1122200 has 48 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 432000.

The previous prime is 1122181. The next prime is 1122227. The reversal of 1122200 is 22211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6110 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

21122200 is an apocalyptic number.

1122200 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 1122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

1122200 is an abundant number, since it is smaller than the sum of its proper divisors (1585960).

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

1122200 is a wasteful number, since it uses less digits than its factorization.

1122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1122200 is about 1059.3394168065. The cubic root of 1122200 is about 103.9178345103.

Adding to 1122200 its reverse (22211), we get a palindrome (1144411).

The spelling of 1122200 in words is "one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 181 200 248 310 362 620 724 775 905 1240 1448 1550 1810 3100 3620 4525 5611 6200 7240 9050 11222 18100 22444 28055 36200 44888 56110 112220 140275 224440 280550 561100 1122200