Search a number
-
+
222231856 = 24721173353
BaseRepresentation
bin11010011111011…
…11110100110000
3120111011112210111
431033233310300
5423342404411
634015111104
75335640200
oct1517576460
9514145714
10222231856
111044980a0
1262512494
133706c552
142172c400
151479b721
hexd3efd30

222231856 has 120 divisors (see below), whose sum is σ = 555459984. Its totient is φ = 85155840.

The previous prime is 222231851. The next prime is 222231859. The reversal of 222231856 is 658132222.

It is not an unprimeable number, because it can be changed into a prime (222231851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629376 + ... + 629728.

Almost surely, 2222231856 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 222231856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277729992).

222231856 is an abundant number, since it is smaller than the sum of its proper divisors (333228128).

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

222231856 is a wasteful number, since it uses less digits than its factorization.

222231856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 222231856 is about 14907.4429732265. The cubic root of 222231856 is about 605.7156170189.

The spelling of 222231856 in words is "two hundred twenty-two million, two hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 73 77 88 98 112 146 154 176 196 292 308 353 392 511 539 584 616 706 784 803 1022 1078 1168 1232 1412 1606 2044 2156 2471 2824 3212 3577 3883 4088 4312 4942 5621 5648 6424 7154 7766 8176 8624 9884 11242 12848 14308 15532 17297 19768 22484 25769 27181 28616 31064 34594 39347 39536 44968 51538 54362 57232 62128 69188 78694 89936 103076 108724 138376 157388 180383 190267 206152 217448 276752 283459 314776 360766 380534 412304 434896 566918 629552 721532 761068 1133836 1262681 1443064 1522136 1984213 2267672 2525362 2886128 3044272 3968426 4535344 5050724 7936852 10101448 13889491 15873704 20202896 27778982 31747408 55557964 111115928 222231856