Search a number
-
+
220222000 = 2453149739
BaseRepresentation
bin11010010000001…
…01001000110000
3120100101102210101
431020011020300
5422334101000
633504042144
75312566435
oct1510051060
9510342711
10220222000
11103345059
1261903354
133681779b
1421367b8c
1514500e6a
hexd205230

220222000 has 80 divisors (see below), whose sum is σ = 536796000. Its totient is φ = 87379200.

The previous prime is 220221997. The next prime is 220222001. The reversal of 220222000 is 222022.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (220222001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297631 + ... + 298369.

It is an arithmetic number, because the mean of its divisors is an integer number (6709950).

Almost surely, 2220222000 is an apocalyptic number.

220222000 is a gapful number since it is divisible by the number (20) 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 220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268398000).

220222000 is an abundant number, since it is smaller than the sum of its proper divisors (316574000).

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

220222000 is a wasteful number, since it uses less digits than its factorization.

220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 220222000 is about 14839.8787057038. The cubic root of 220222000 is about 603.8840617784.

Adding to 220222000 its reverse (222022), we get a palindrome (220444022).

The spelling of 220222000 in words is "two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 739 745 1000 1192 1478 1490 2000 2384 2956 2980 3695 3725 5912 5960 7390 7450 11824 11920 14780 14900 18475 18625 29560 29800 36950 37250 59120 59600 73900 74500 92375 110111 147800 149000 184750 220222 295600 298000 369500 440444 550555 739000 880888 1101110 1478000 1761776 2202220 2752775 4404440 5505550 8808880 11011100 13763875 22022200 27527750 44044400 55055500 110111000 220222000