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3020553224 = 231323536329
BaseRepresentation
bin1011010000001001…
…1111110000001000
321210111201000001122
42310002133300020
522141230200344
61215420534412
7134565164423
oct26402376010
97714630048
103020553224
111310029387
127036b1408
13391a2c700
142092369ba
1512a2a3aee
hexb409fc08

3020553224 has 48 divisors (see below), whose sum is σ = 6151050900. Its totient is φ = 1389932544.

The previous prime is 3020553197. The next prime is 3020553241. The reversal of 3020553224 is 4223550203.

It can be written as a sum of positive squares in 6 ways, for example, as 659565124 + 2360988100 = 25682^2 + 48590^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 3020553193 and 3020553202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474092 + ... + 480420.

Almost surely, 23020553224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020553224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075525450).

3020553224 is an abundant number, since it is smaller than the sum of its proper divisors (3130497676).

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

3020553224 is a wasteful number, since it uses less digits than its factorization.

3020553224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 3020553224 is about 54959.5598963456. The cubic root of 3020553224 is about 1445.5357302828.

The spelling of 3020553224 in words is "three billion, twenty million, five hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 353 676 706 1352 1412 2824 4589 6329 9178 12658 18356 25316 36712 50632 59657 82277 119314 164554 238628 329108 477256 658216 1069601 2139202 2234137 4278404 4468274 8556808 8936548 17873096 29043781 58087562 116175124 232350248 377569153 755138306 1510276612 3020553224