Search a number
-
+
223122432 = 21031337151
BaseRepresentation
bin11010100110010…
…01010000000000
3120112211210102210
431103021100000
5424104404212
634050142120
75346336501
oct1523112000
9515753383
10223122432
11104a46205
1262881940
13372c1a10
14218c0ba8
15148c553c
hexd4c9400

223122432 has 176 divisors, whose sum is σ = 662114432. Its totient is φ = 66355200.

The previous prime is 223122413. The next prime is 223122437. The reversal of 223122432 is 234221322.

It is a super-3 number, since 3×2231224323 (a number of 26 digits) contains 333 as substring.

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 = 223122399 and 223122408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223122437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477557 + ... + 1477707.

Almost surely, 2223122432 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 223122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331057216).

223122432 is an abundant number, since it is smaller than the sum of its proper divisors (438992000).

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

223122432 is a wasteful number, since it uses less digits than its factorization.

223122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 223122432 is about 14937.2832871309. The cubic root of 223122432 is about 606.5236572033.

Adding to 223122432 its reverse (234221322), we get a palindrome (457343754).

The spelling of 223122432 in words is "two hundred twenty-three million, one hundred twenty-two thousand, four hundred thirty-two".