Search a number
-
+
223814232 = 23334432339
BaseRepresentation
bin11010101011100…
…10001001011000
3120121010221102000
431111302021120
5424244023412
634113041000
75355250425
oct1525621130
9517127360
10223814232
11105378a44
1262b56160
13374a4875
1421a20d4c
15149b04dc
hexd572258

223814232 has 64 divisors (see below), whose sum is σ = 623376000. Its totient is φ = 74404512.

The previous prime is 223814161. The next prime is 223814233. The reversal of 223814232 is 232418322.

223814232 is a `hidden beast` number, since 2 + 238 + 1 + 423 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 223814196 and 223814205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223814233) 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, 94519 + ... + 96857.

It is an arithmetic number, because the mean of its divisors is an integer number (9740250).

Almost surely, 2223814232 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 223814232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311688000).

223814232 is an abundant number, since it is smaller than the sum of its proper divisors (399561768).

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

223814232 is a wasteful number, since it uses less digits than its factorization.

223814232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2787 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 223814232 is about 14960.4221865561. The cubic root of 223814232 is about 607.1498607226.

The spelling of 223814232 in words is "two hundred twenty-three million, eight hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 443 886 1329 1772 2339 2658 3544 3987 4678 5316 7017 7974 9356 10632 11961 14034 15948 18712 21051 23922 28068 31896 42102 47844 56136 63153 84204 95688 126306 168408 252612 505224 1036177 2072354 3108531 4144708 6217062 8289416 9325593 12434124 18651186 24868248 27976779 37302372 55953558 74604744 111907116 223814232