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220835825 = 5277571667
BaseRepresentation
bin11010010100110…
…10111111110001
3120101112121210122
431022122333301
5423013221300
633525140025
75321034140
oct1512327761
9511477718
10220835825
11103724251
1261b5a615
13369a0cb2
1421487757
15145c2c85
hexd29aff1

220835825 has 24 divisors (see below), whose sum is σ = 313557312. Its totient is φ = 151139520.

The previous prime is 220835821. The next prime is 220835827. The reversal of 220835825 is 528538022.

It is not a de Polignac number, because 220835825 - 22 = 220835821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220835821) 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 23 ways as a sum of consecutive naturals, for example, 131642 + ... + 133308.

It is an arithmetic number, because the mean of its divisors is an integer number (13064888).

Almost surely, 2220835825 is an apocalyptic number.

220835825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220835825 is a deficient number, since it is larger than the sum of its proper divisors (92721487).

220835825 is a wasteful number, since it uses less digits than its factorization.

220835825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 220835825 is about 14860.5459186397. The cubic root of 220835825 is about 604.4446101772. Note that the first 3 decimals are identical.

The spelling of 220835825 in words is "two hundred twenty million, eight hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 175 757 1667 3785 5299 8335 11669 18925 26495 41675 58345 132475 291725 1261919 6309595 8833433 31547975 44167165 220835825