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3221140 = 225132953
BaseRepresentation
bin1100010010011010010100
320001122120111
430102122110
51311034030
6153012404
736244036
oct14223224
96048514
103221140
1119000aa
1210b4104
1388a200
145dbc56
1543962a
hex312694

3221140 has 36 divisors (see below), whose sum is σ = 7332444. Its totient is φ = 1188096.

The previous prime is 3221137. The next prime is 3221167. The reversal of 3221140 is 411223.

It can be written as a sum of positive squares in 6 ways, for example, as 749956 + 2471184 = 866^2 + 1572^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3221140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2904 + ... + 3856.

It is an arithmetic number, because the mean of its divisors is an integer number (203679).

Almost surely, 23221140 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 3221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666222).

3221140 is an abundant number, since it is smaller than the sum of its proper divisors (4111304).

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

3221140 is a wasteful number, since it uses less digits than its factorization.

3221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3221140 is about 1794.7534649639. The cubic root of 3221140 is about 147.6850497513.

Adding to 3221140 its reverse (411223), we get a palindrome (3632363).

The spelling of 3221140 in words is "three million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 953 1690 1906 3380 3812 4765 9530 12389 19060 24778 49556 61945 123890 161057 247780 322114 644228 805285 1610570 3221140