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1022221120 = 2653194441
BaseRepresentation
bin111100111011011…
…101101101000000
32122020111012202111
4330323131231000
54043142033440
6245233425104
734221510334
oct7473355500
92566435674
101022221120
11485020948
1224640b194
13133a1a58b
1499a937c4
155eb204ea
hex3ceddb40

1022221120 has 28 divisors (see below), whose sum is σ = 2434164804. Its totient is φ = 408888320.

The previous prime is 1022221093. The next prime is 1022221121. The reversal of 1022221120 is 211222201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 492484864 + 529736256 = 22192^2 + 23016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1022221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1596901 + ... + 1597540.

Almost surely, 21022221120 is an apocalyptic number.

1022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022221120 is an abundant number, since it is smaller than the sum of its proper divisors (1411943684).

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

1022221120 is an equidigital number, since it uses as much as digits as its factorization.

1022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194458 (or 3194448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022221120 is about 31972.1929182219. The cubic root of 1022221120 is about 1007.3528431883.

Adding to 1022221120 its reverse (211222201), we get a palindrome (1233443321).

It can be divided in two parts, 102 and 2221120, that added together give a palindrome (2221222).

The spelling of 1022221120 in words is "one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3194441 6388882 12777764 15972205 25555528 31944410 51111056 63888820 102222112 127777640 204444224 255555280 511110560 1022221120