Search a number
-
+
222842256 = 243713173001
BaseRepresentation
bin11010100100001…
…00110110010000
3120112022120002220
431102010312100
5424021423011
634040141040
75344061610
oct1522046620
9515276086
10222842256
1110487475a
1262767780
1337224330
142184aa40
151486c506
hexd484d90

222842256 has 160 divisors (see below), whose sum is σ = 750451968. Its totient is φ = 55296000.

The previous prime is 222842227. The next prime is 222842281. The reversal of 222842256 is 652248222.

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, 72756 + ... + 75756.

Almost surely, 2222842256 is an apocalyptic number.

222842256 is a gapful number since it is divisible by the number (26) 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 222842256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375225984).

222842256 is an abundant number, since it is smaller than the sum of its proper divisors (527609712).

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

222842256 is a wasteful number, since it uses less digits than its factorization.

222842256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3043 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 222842256 is about 14927.9019289383. The cubic root of 222842256 is about 606.2696792280.

The spelling of 222842256 in words is "two hundred twenty-two million, eight hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3001 3094 3536 4368 4641 5304 5712 6002 6188 9003 9282 10608 12004 12376 18006 18564 21007 24008 24752 36012 37128 39013 42014 48016 51017 63021 72024 74256 78026 84028 102034 117039 126042 144048 153051 156052 168056 204068 234078 252084 273091 306102 312104 336112 357119 408136 468156 504168 546182 612204 624208 663221 714238 816272 819273 936312 1008336 1071357 1092364 1224408 1326442 1428476 1638546 1872624 1989663 2142714 2184728 2448816 2652884 2856952 3277092 3979326 4285428 4369456 4642547 5305768 5713904 6554184 7958652 8570856 9285094 10611536 13108368 13927641 15917304 17141712 18570188 27855282 31834608 37140376 55710564 74280752 111421128 222842256