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1222272 = 27321061
BaseRepresentation
bin100101010011010000000
32022002122100
410222122000
5303103042
642110400
713250322
oct4523200
92262570
101222272
11765347
124ab400
1333a44c
1423b612
1519224c
hex12a680

1222272 has 48 divisors (see below), whose sum is σ = 3520530. Its totient is φ = 407040.

The previous prime is 1222271. The next prime is 1222279. The reversal of 1222272 is 2722221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 968256 + 254016 = 984^2 + 504^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1222271) 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, 622 + ... + 1682.

21222272 is an apocalyptic number.

1222272 is a gapful number since it is divisible by the number (12) 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 1222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760265).

1222272 is an abundant number, since it is smaller than the sum of its proper divisors (2298258).

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

1222272 is a wasteful number, since it uses less digits than its factorization.

1222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1066 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 1222272 is about 1105.5641094030. The cubic root of 1222272 is about 106.9192624704.

Adding to 1222272 its reverse (2722221), we get a palindrome (3944493).

The spelling of 1222272 in words is "one million, two hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1061 1152 2122 3183 4244 6366 8488 9549 12732 16976 19098 25464 33952 38196 50928 67904 76392 101856 135808 152784 203712 305568 407424 611136 1222272