Search a number
-
+
222266688 = 2637592803
BaseRepresentation
bin11010011111110…
…00010101000000
3120111020022120120
431033320111000
5423400013223
634015540240
75336143560
oct1517702500
9514208516
10222266688
11104511286
126252a680
1337082367
142173ada0
15147a6be3
hexd3f8540

222266688 has 112 divisors (see below), whose sum is σ = 683727360. Its totient is φ = 62406144.

The previous prime is 222266663. The next prime is 222266689. The reversal of 222266688 is 886662222.

222266688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222266689) 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 15 ways as a sum of consecutive naturals, for example, 77895 + ... + 80697.

Almost surely, 2222266688 is an apocalyptic number.

222266688 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 222266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863680).

222266688 is an abundant number, since it is smaller than the sum of its proper divisors (461460672).

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

222266688 is a wasteful number, since it uses less digits than its factorization.

222266688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 222266688 is about 14908.6112029256. The cubic root of 222266688 is about 605.7472614233.

The spelling of 222266688 in words is "two hundred twenty-two million, two hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1888 2478 2803 2832 3304 3776 4956 5606 5664 6608 8409 9912 11212 11328 13216 16818 19621 19824 22424 26432 33636 39242 39648 44848 58863 67272 78484 79296 89696 117726 134544 156968 165377 179392 235452 269088 313936 330754 470904 496131 538176 627872 661508 941808 992262 1157639 1255744 1323016 1883616 1984524 2315278 2646032 3472917 3767232 3969048 4630556 5292064 6945834 7938096 9261112 10584128 13891668 15876192 18522224 27783336 31752384 37044448 55566672 74088896 111133344 222266688