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1057122216 = 233216378969
BaseRepresentation
bin111111000000100…
…110011110101000
32201200011101001200
4333000212132220
54131110402331
6252521444200
735124250653
oct7700463650
92650141050
101057122216
114a2799627
12256040660
1313b01a307
14a057a89a
1562c165e6
hex3f0267a8

1057122216 has 48 divisors (see below), whose sum is σ = 2865107700. Its totient is φ = 352119552.

The previous prime is 1057122211. The next prime is 1057122217. The reversal of 1057122216 is 6122217501.

1057122216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 970073316 + 87048900 = 31146^2 + 9330^2 .

It is a super-2 number, since 2×10571222162 = 2235014759121501312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057122216.

It is not an unprimeable number, because it can be changed into a prime (1057122211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113380 + ... + 122348.

Almost surely, 21057122216 is an apocalyptic number.

It is an amenable number.

1057122216 is an abundant number, since it is smaller than the sum of its proper divisors (1807985484).

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

1057122216 is a wasteful number, since it uses less digits than its factorization.

1057122216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1057122216 is about 32513.4159386552. The cubic root of 1057122216 is about 1018.6892737286.

Adding to 1057122216 its reverse (6122217501), we get a palindrome (7179339717).

The spelling of 1057122216 in words is "one billion, fifty-seven million, one hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1637 3274 4911 6548 8969 9822 13096 14733 17938 19644 26907 29466 35876 39288 53814 58932 71752 80721 107628 117864 161442 215256 322884 645768 14682253 29364506 44046759 58729012 88093518 117458024 132140277 176187036 264280554 352374072 528561108 1057122216