Search a number
-
+
1222400 = 2852191
BaseRepresentation
bin100101010011100000000
32022002211002
410222130000
5303104100
642111132
713250564
oct4523400
92262732
101222400
11765453
124ab4a8
1333a51a
1423b6a4
151922d5
hex12a700

1222400 has 54 divisors (see below), whose sum is σ = 3041472. Its totient is φ = 486400.

The previous prime is 1222393. The next prime is 1222409. The reversal of 1222400 is 42221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222409) 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 5 ways as a sum of consecutive naturals, for example, 6305 + ... + 6495.

21222400 is an apocalyptic number.

1222400 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 1222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520736).

1222400 is an abundant number, since it is smaller than the sum of its proper divisors (1819072).

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

1222400 is an equidigital number, since it uses as much as digits as its factorization.

1222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1222400 is about 1105.6219968868. The cubic root of 1222400 is about 106.9229946424.

Adding to 1222400 its reverse (42221), we get a palindrome (1264621).

The spelling of 1222400 in words is "one million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 191 200 256 320 382 400 640 764 800 955 1280 1528 1600 1910 3056 3200 3820 4775 6112 6400 7640 9550 12224 15280 19100 24448 30560 38200 48896 61120 76400 122240 152800 244480 305600 611200 1222400