Search a number
-
+
223112964 = 223178313177
BaseRepresentation
bin11010100110001…
…10111100000100
3120112211022110010
431103012330010
5424104103324
634050030220
75346300054
oct1523067404
9515738403
10223112964
11104a3a088
1262878370
13372ba609
14218bb564
15148c2829
hexd4c6f04

223112964 has 48 divisors (see below), whose sum is σ = 557903808. Its totient is φ = 69147648.

The previous prime is 223112951. The next prime is 223112969. The reversal of 223112964 is 469211322.

It is a super-3 number, since 3×2231129643 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223112969) 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, 10344 + ... + 23520.

It is an arithmetic number, because the mean of its divisors is an integer number (11622996).

Almost surely, 2223112964 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 223112964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278951904).

223112964 is an abundant number, since it is smaller than the sum of its proper divisors (334790844).

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

223112964 is a wasteful number, since it uses less digits than its factorization.

223112964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284 (or 13282 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 223112964 is about 14936.9663586687. The cubic root of 223112964 is about 606.5150779864.

The spelling of 223112964 in words is "two hundred twenty-three million, one hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2822 4233 5644 8466 13177 16932 26354 39531 52708 79062 158124 224009 448018 672027 896036 1093691 1344054 2187382 2688108 3281073 4374764 6562146 13124292 18592747 37185494 55778241 74370988 111556482 223112964