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1072228041 = 32119136449
BaseRepresentation
bin111111111010001…
…110011011001001
32202201120211100200
4333322032123021
54143442244131
6254221322413
735366534163
oct7772163311
92681524320
101072228041
11500276885
1225b106409
131411a8b81
14a258d933
15641ec2e6
hex3fe8e6c9

1072228041 has 6 divisors (see below), whose sum is σ = 1548773850. Its totient is φ = 714818688.

The previous prime is 1072227997. The next prime is 1072228067. The reversal of 1072228041 is 1408222701.

It can be written as a sum of positive squares in only one way, i.e., 1021761225 + 50466816 = 31965^2 + 7104^2 .

It is not a de Polignac number, because 1072228041 - 210 = 1072227017 is a prime.

It is a super-2 number, since 2×10722280412 = 2299345943813395362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072227996 and 1072228014.

It is not an unprimeable number, because it can be changed into a prime (1072228141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59568216 + ... + 59568233.

It is an arithmetic number, because the mean of its divisors is an integer number (258128975).

Almost surely, 21072228041 is an apocalyptic number.

It is an amenable number.

1072228041 is a deficient number, since it is larger than the sum of its proper divisors (476545809).

1072228041 is a wasteful number, since it uses less digits than its factorization.

1072228041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119136455 (or 119136452 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1072228041 is about 32744.8933575909. The cubic root of 1072228041 is about 1023.5185550229.

The spelling of 1072228041 in words is "one billion, seventy-two million, two hundred twenty-eight thousand, forty-one".

Divisors: 1 3 9 119136449 357409347 1072228041