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4224220 = 22571113211
BaseRepresentation
bin10000000111010011011100
321221121112121
4100013103130
52040133340
6230312324
750622340
oct20072334
97847477
104224220
1124257a0
1214b86a4
13b4b950
147bd620
1558694a
hex4074dc

4224220 has 96 divisors (see below), whose sum is σ = 11966976. Its totient is φ = 1209600.

The previous prime is 4224197. The next prime is 4224229. The reversal of 4224220 is 224224.

Adding to 4224220 its reverse (224224), we get a palindrome (4448444).

It can be divided in two parts, 4224 and 220, that added together give a palindrome (4444).

It is a junction number, because it is equal to n+sod(n) for n = 4224194 and 4224203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19915 + ... + 20125.

It is an arithmetic number, because the mean of its divisors is an integer number (124656).

Almost surely, 24224220 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 4224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983488).

4224220 is an abundant number, since it is smaller than the sum of its proper divisors (7742756).

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

4224220 is a wasteful number, since it uses less digits than its factorization.

4224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4224220 is about 2055.2907336920. The cubic root of 4224220 is about 161.6524071928.

The spelling of 4224220 in words is "four million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 211 220 260 286 308 364 385 422 455 572 715 770 844 910 1001 1055 1430 1477 1540 1820 2002 2110 2321 2743 2860 2954 4004 4220 4642 5005 5486 5908 7385 9284 10010 10972 11605 13715 14770 16247 19201 20020 23210 27430 29540 30173 32494 38402 46420 54860 60346 64988 76804 81235 96005 120692 150865 162470 192010 211211 301730 324940 384020 422422 603460 844844 1056055 2112110 4224220