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3223000 = 235311293
BaseRepresentation
bin1100010010110111011000
320001202010101
430102313120
51311114000
6153025144
736252334
oct14226730
96052111
103223000
111901540
1210b51b4
1388b001
145dc7c4
15439e6a
hex312dd8

3223000 has 64 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 1168000.

The previous prime is 3222991. The next prime is 3223007. The reversal of 3223000 is 3223.

3223000 = T760 + T761 + ... + T770.

3223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10854 + ... + 11146.

Almost surely, 23223000 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 3223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

3223000 is an abundant number, since it is smaller than the sum of its proper divisors (5032520).

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

3223000 is a wasteful number, since it uses less digits than its factorization.

3223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3223000 is about 1795.2715672009. The cubic root of 3223000 is about 147.7134704695.

Adding to 3223000 its reverse (3223), we get a palindrome (3226223).

3223000 divided by its reverse (3223) gives a cube (1000 = 103).

It can be divided in two parts, 32 and 23000, that added together give a palindrome (23032).

The spelling of 3223000 in words is "three million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 293 440 500 550 586 1000 1100 1172 1375 1465 2200 2344 2750 2930 3223 5500 5860 6446 7325 11000 11720 12892 14650 16115 25784 29300 32230 36625 58600 64460 73250 80575 128920 146500 161150 293000 322300 402875 644600 805750 1611500 3223000