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4220464 = 243167127
BaseRepresentation
bin10000000110011000110000
321221102101111
4100012120300
52040023324
6230243104
750605363
oct20063060
97842344
104220464
112422996
1214b6494
13b4a021
147bc0da
15585794
hex406630

4220464 has 40 divisors (see below), whose sum is σ = 8634368. Its totient is φ = 1995840.

The previous prime is 4220449. The next prime is 4220473. The reversal of 4220464 is 4640224.

It is a d-powerful number, because it can be written as 44 + 25 + 213 + 0 + 47 + 64 + 411 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33169 + ... + 33295.

Almost surely, 24220464 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 4220464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317184).

4220464 is an abundant number, since it is smaller than the sum of its proper divisors (4413904).

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

4220464 is a wasteful number, since it uses less digits than its factorization.

4220464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4220464 is about 2054.3767911462. The cubic root of 4220464 is about 161.6044814625.

Adding to 4220464 its reverse (4640224), we get a palindrome (8860688).

The spelling of 4220464 in words is "four million, two hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 67 124 127 134 248 254 268 496 508 536 1016 1072 2032 2077 3937 4154 7874 8308 8509 15748 16616 17018 31496 33232 34036 62992 68072 136144 263779 527558 1055116 2110232 4220464