Search a number
-
+
3222000 = 243253179
BaseRepresentation
bin1100010010100111110000
320001200202100
430102213300
51311101000
6153020400
736246405
oct14224760
96050670
103222000
111900811
1210b4700
1388a712
145dc2ac
15439a00
hex3129f0

3222000 has 120 divisors (see below), whose sum is σ = 11316240. Its totient is φ = 854400.

The previous prime is 3221983. The next prime is 3222007. The reversal of 3222000 is 2223.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17911 + ... + 18089.

It is an arithmetic number, because the mean of its divisors is an integer number (94302).

Almost surely, 23222000 is an apocalyptic number.

3222000 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 3222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658120).

3222000 is an abundant number, since it is smaller than the sum of its proper divisors (8094240).

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

3222000 is a wasteful number, since it uses less digits than its factorization.

3222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3222000 is about 1794.9930361982. The cubic root of 3222000 is about 147.6981918729.

Adding to 3222000 its reverse (2223), we get a palindrome (3224223).

The spelling of 3222000 in words is "three million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 179 180 200 225 240 250 300 358 360 375 400 450 500 537 600 716 720 750 895 900 1000 1074 1125 1200 1432 1500 1611 1790 1800 2000 2148 2250 2685 2864 3000 3222 3580 3600 4296 4475 4500 5370 6000 6444 7160 8055 8592 8950 9000 10740 12888 13425 14320 16110 17900 18000 21480 22375 25776 26850 32220 35800 40275 42960 44750 53700 64440 67125 71600 80550 89500 107400 128880 134250 161100 179000 201375 214800 268500 322200 358000 402750 537000 644400 805500 1074000 1611000 3222000