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3222180 = 223651317
BaseRepresentation
bin1100010010101010100100
320001201000000
430102222210
51311102210
6153021300
736250053
oct14225244
96051000
103222180
111900965
1210b4830
1388a820
145dc39a
15439ac0
hex312aa4

3222180 has 168 divisors, whose sum is σ = 11568312. Its totient is φ = 746496.

The previous prime is 3222169. The next prime is 3222187. The reversal of 3222180 is 812223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 2985984 = 486^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222187) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 189532 + ... + 189548.

It is an arithmetic number, because the mean of its divisors is an integer number (68859).

Almost surely, 23222180 is an apocalyptic number.

3222180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784156).

3222180 is an abundant number, since it is smaller than the sum of its proper divisors (8346132).

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

3222180 is a wasteful number, since it uses less digits than its factorization.

3222180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3222180 is about 1795.0431749682. The cubic root of 3222180 is about 147.7009422536.

The spelling of 3222180 in words is "three million, two hundred twenty-two thousand, one hundred eighty".