[go: up one dir, main page]

Search a number
-
+
22210320 = 24351147179
BaseRepresentation
bin101010010111…
…0011100010000
31112210101211110
41110232130100
521141212240
62112013320
7356533056
oct124563420
945711743
1022210320
111159aa40
127531240
1347a8502
142d421d6
151e3ac80
hex152e710

22210320 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5240320.

The previous prime is 22210289. The next prime is 22210333. The reversal of 22210320 is 2301222.

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 = 22210296 and 22210305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123991 + ... + 124169.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 222210320 is an apocalyptic number.

22210320 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 22210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

22210320 is an abundant number, since it is smaller than the sum of its proper divisors (54927600).

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

22210320 is a wasteful number, since it uses less digits than its factorization.

22210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22210320 is about 4712.7826175201. The cubic root of 22210320 is about 281.0940191883.

Adding to 22210320 its reverse (2301222), we get a palindrome (24511542).

The spelling of 22210320 in words is "twenty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 179 188 220 235 240 264 282 330 358 376 440 470 517 528 537 564 660 705 716 752 880 895 940 1034 1074 1128 1320 1410 1432 1551 1790 1880 1969 2068 2148 2256 2585 2640 2685 2820 2864 3102 3580 3760 3938 4136 4296 5170 5370 5640 5907 6204 7160 7755 7876 8272 8413 8592 9845 10340 10740 11280 11814 12408 14320 15510 15752 16826 19690 20680 21480 23628 24816 25239 29535 31020 31504 33652 39380 41360 42065 42960 47256 50478 59070 62040 67304 78760 84130 92543 94512 100956 118140 124080 126195 134608 157520 168260 185086 201912 236280 252390 277629 336520 370172 403824 462715 472560 504780 555258 673040 740344 925430 1009560 1110516 1388145 1480688 1850860 2019120 2221032 2776290 3701720 4442064 5552580 7403440 11105160 22210320