[go: up one dir, main page]

Search a number
-
+
22220220 = 223511131257
BaseRepresentation
bin101010011000…
…0110110111100
31112210220102010
41110300312330
521142021340
62112131220
7356603661
oct124606674
945726363
1022220220
11115a7420
127536b10
1347acb79
142d45a68
151e3db80
hex1530dbc

22220220 has 96 divisors (see below), whose sum is σ = 68656896. Its totient is φ = 5324800.

The previous prime is 22220213. The next prime is 22220227. The reversal of 22220220 is 2202222.

It is an interprime number because it is at equal distance from previous prime (22220213) and next prime (22220227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22220196 and 22220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86332 + ... + 86588.

It is an arithmetic number, because the mean of its divisors is an integer number (715176).

Almost surely, 222220220 is an apocalyptic number.

22220220 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 22220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34328448).

22220220 is an abundant number, since it is smaller than the sum of its proper divisors (46436676).

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

22220220 is a wasteful number, since it uses less digits than its factorization.

22220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22220220 is about 4713.8328353899. The cubic root of 22220220 is about 281.1357778155.

Adding to 22220220 its reverse (2202222), we get a palindrome (24422442).

It can be divided in two parts, 222202 and 20, that added together give a palindrome (222222).

The spelling of 22220220 in words is "twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 257 262 330 393 514 524 655 660 771 786 1028 1285 1310 1441 1542 1572 1965 2570 2620 2827 2882 3084 3855 3930 4323 5140 5654 5764 7205 7710 7860 8481 8646 11308 14135 14410 15420 16962 17292 21615 28270 28820 33667 33924 42405 43230 56540 67334 84810 86460 101001 134668 168335 169620 202002 336670 370337 404004 505005 673340 740674 1010010 1111011 1481348 1851685 2020020 2222022 3703370 4444044 5555055 7406740 11110110 22220220