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4222180 = 2251941271
BaseRepresentation
bin10000000110110011100100
321221111202001
4100012303210
52040102210
6230255044
750613364
oct20066344
97844661
104222180
112424206
1214b7484
13b4aa41
147bc9a4
1558603a
hex406ce4

4222180 has 48 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 1555200.

The previous prime is 4222177. The next prime is 4222219. The reversal of 4222180 is 812224.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15445 + ... + 15715.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 24222180 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 4222180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798080).

4222180 is an abundant number, since it is smaller than the sum of its proper divisors (5373980).

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

4222180 is a wasteful number, since it uses less digits than its factorization.

4222180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4222180 is about 2054.7943936073. The cubic root of 4222180 is about 161.6263807698.

It can be divided in two parts, 42 and 22180, that added together give a palindrome (22222).

The spelling of 4222180 in words is "four million, two hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 271 380 410 542 779 820 1084 1355 1558 2710 3116 3895 5149 5420 7790 10298 11111 15580 20596 22222 25745 44444 51490 55555 102980 111110 211109 222220 422218 844436 1055545 2111090 4222180