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1222656 = 2113199
BaseRepresentation
bin100101010100000000000
32022010011120
410222200000
5303111111
642112240
713251411
oct4524000
92263146
101222656
11765666
124ab680
1333a686
1423b808
15192406
hex12a800

1222656 has 48 divisors (see below), whose sum is σ = 3276000. Its totient is φ = 405504.

The previous prime is 1222651. The next prime is 1222667. The reversal of 1222656 is 6562221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1222651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6045 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

21222656 is an apocalyptic number.

1222656 is a gapful number since it is divisible by the number (16) 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 1222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638000).

1222656 is an abundant number, since it is smaller than the sum of its proper divisors (2053344).

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

1222656 is an equidigital number, since it uses as much as digits as its factorization.

1222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 1222656 is about 1105.7377627629. The cubic root of 1222656 is about 106.9304582048.

Adding to 1222656 its reverse (6562221), we get a palindrome (7784877).

The spelling of 1222656 in words is "one million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1024 1194 1536 1592 2048 2388 3072 3184 4776 6144 6368 9552 12736 19104 25472 38208 50944 76416 101888 152832 203776 305664 407552 611328 1222656