Search a number
-
+
222278868 = 223274373281
BaseRepresentation
bin11010011111110…
…11010011010100
3120111020221021200
431033323103110
5423400410433
634020112500
75336224230
oct1517732324
9514227250
10222278868
1110451a449
1262535730
1337087a76
14217415c0
15147aa613
hexd3fb4d4

222278868 has 144 divisors (see below), whose sum is σ = 668443776. Its totient is φ = 60963840.

The previous prime is 222278851. The next prime is 222278887. The reversal of 222278868 is 868872222.

It is a happy number.

222278868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2222788682 = 98815790318722848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 790888 + ... + 791168.

Almost surely, 2222278868 is an apocalyptic number.

222278868 is a gapful number since it is divisible by the number (28) 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 222278868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334221888).

222278868 is an abundant number, since it is smaller than the sum of its proper divisors (446164908).

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

222278868 is a wasteful number, since it uses less digits than its factorization.

222278868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 222278868 is about 14909.0196860827. The cubic root of 222278868 is about 605.7583260096.

The spelling of 222278868 in words is "two hundred twenty-two million, two hundred seventy-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 73 84 86 126 129 146 172 219 252 258 281 292 301 387 438 511 516 562 602 657 774 843 876 903 1022 1124 1204 1314 1533 1548 1686 1806 1967 2044 2529 2628 2709 3066 3139 3372 3612 3934 4599 5058 5418 5901 6132 6278 7868 9198 9417 10116 10836 11802 12083 12556 17703 18396 18834 20513 21973 23604 24166 28251 35406 36249 37668 41026 43946 48332 56502 61539 65919 70812 72498 82052 84581 87892 108747 113004 123078 131838 143591 144996 169162 184617 197757 217494 246156 253743 263676 287182 338324 369234 395514 430773 434988 507486 574364 738468 761229 791028 861546 882059 1014972 1292319 1522458 1723092 1764118 2584638 2646177 3044916 3528236 5169276 5292354 6174413 7938531 10584708 12348826 15877062 18523239 24697652 31754124 37046478 55569717 74092956 111139434 222278868