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4220568 = 233211732
BaseRepresentation
bin10000000110011010011000
321221102112100
4100012122120
52040024233
6230243400
750605602
oct20063230
97842470
104220568
112422a80
1214b6560
13b4a0a1
147bc172
15585813
hex406698

4220568 has 72 divisors (see below), whose sum is σ = 12643020. Its totient is φ = 1261440.

The previous prime is 4220563. The next prime is 4220597. The reversal of 4220568 is 8650224.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220563) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57780 + ... + 57852.

Almost surely, 24220568 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 4220568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321510).

4220568 is an abundant number, since it is smaller than the sum of its proper divisors (8422452).

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

4220568 is a wasteful number, since it uses less digits than its factorization.

4220568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4220568 is about 2054.4021028027. The cubic root of 4220568 is about 161.6058088622.

The spelling of 4220568 in words is "four million, two hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 198 219 264 292 396 438 584 657 792 803 876 1314 1606 1752 2409 2628 3212 4818 5256 5329 6424 7227 9636 10658 14454 15987 19272 21316 28908 31974 42632 47961 57816 58619 63948 95922 117238 127896 175857 191844 234476 351714 383688 468952 527571 703428 1055142 1406856 2110284 4220568