Search a number
-
+
223113620 = 22523574733
BaseRepresentation
bin11010100110001…
…11000110010100
3120112211100100102
431103013012110
5424104113440
634050033232
75346302012
oct1523070624
9515740312
10223113620
11104a3a624
1262878818
13372ba9c2
14218bb8b2
15148c2b15
hexd4c7194

223113620 has 24 divisors (see below), whose sum is σ = 468836424. Its totient is φ = 89188736.

The previous prime is 223113607. The next prime is 223113629. The reversal of 223113620 is 26311322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 148996 + 222964624 = 386^2 + 14932^2 .

It is a super-3 number, since 3×2231136203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223113592 and 223113601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223113629) 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 7 ways as a sum of consecutive naturals, for example, 44774 + ... + 49506.

It is an arithmetic number, because the mean of its divisors is an integer number (19534851).

Almost surely, 2223113620 is an apocalyptic number.

223113620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223113620 is an abundant number, since it is smaller than the sum of its proper divisors (245722804).

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

223113620 is a wasteful number, since it uses less digits than its factorization.

223113620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7097 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 223113620 is about 14936.9883175960. The cubic root of 223113620 is about 606.5156724140.

Adding to 223113620 its reverse (26311322), we get a palindrome (249424942).

It can be divided in two parts, 2231 and 13620, that added together give a palindrome (15851).

The spelling of 223113620 in words is "two hundred twenty-three million, one hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 2357 4714 4733 9428 9466 11785 18932 23570 23665 47140 47330 94660 11155681 22311362 44622724 55778405 111556810 223113620