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3220562500 = 22562272
BaseRepresentation
bin1011111111110101…
…1110001001000100
322022110001112012121
42333331132021010
523043431000000
61251323455324
7142544221021
oct27775361104
98273045177
103220562500
111402a18301
1275a687544
133c42bacac
14227a1c548
1513cb10b1a
hexbff5e244

3220562500 has 63 divisors (see below), whose sum is σ = 7076061769. Its totient is φ = 1282550000.

The previous prime is 3220562459. The next prime is 3220562507. The reversal of 3220562500 is 52650223.

The square root of 3220562500 is 56750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 2821521924 + 399040576 = 53118^2 + 19976^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3220562507) 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 20 ways as a sum of consecutive naturals, for example, 14187387 + ... + 14187613.

Almost surely, 23220562500 is an apocalyptic number.

3220562500 is the 56750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220562500

3220562500 is an abundant number, since it is smaller than the sum of its proper divisors (3855499269).

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

3220562500 is an frugal number, since it uses more digits than its factorization.

3220562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 3220562500 is about 1476.7622335093.

Multiplying 3220562500 by its sum of digits (25), we get a square (80514062500 = 2837502).

3220562500 divided by its sum of digits (25) gives a square (128822500 = 113502).

Multiplying 3220562500 by its product of nonzero digits (3600), we get a square (11594025000000 = 34050002).

The spelling of 3220562500 in words is "three billion, two hundred twenty million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 227 250 454 500 625 908 1135 1250 2270 2500 3125 4540 5675 6250 11350 12500 15625 22700 28375 31250 51529 56750 62500 103058 113500 141875 206116 257645 283750 515290 567500 709375 1030580 1288225 1418750 2576450 2837500 3546875 5152900 6441125 7093750 12882250 14187500 25764500 32205625 64411250 128822500 161028125 322056250 644112500 805140625 1610281250 3220562500