Search a number
-
+
223201134024 = 2331117617111483
BaseRepresentation
bin1100111111011111010…
…0110000010111001000
3210100010021022102002120
43033313310300113020
512124103442242044
6250312010531240
722061063223111
oct3176764602710
9710107272076
10223201134024
1186728248630
1237311736b20
1318080c7184b
14ab355a9208
155c15264519
hex33f7d305c8

223201134024 has 256 divisors, whose sum is σ = 664388904960. Its totient is φ = 61727232000.

The previous prime is 223201134001. The next prime is 223201134029. The reversal of 223201134024 is 420431102322.

It is a happy number.

It is a super-3 number, since 3×2232011340243 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223201133985 and 223201134003.

It is not an unprimeable number, because it can be changed into a prime (223201134029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19431787 + ... + 19443269.

It is an arithmetic number, because the mean of its divisors is an integer number (2595269160).

Almost surely, 2223201134024 is an apocalyptic number.

223201134024 is a gapful number since it is divisible by the number (24) 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 223201134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332194452480).

223201134024 is an abundant number, since it is smaller than the sum of its proper divisors (441187770936).

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

223201134024 is a wasteful number, since it uses less digits than its factorization.

223201134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11652 (or 11648 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 223201134024 its reverse (420431102322), we get a palindrome (643632236346).

The spelling of 223201134024 in words is "two hundred twenty-three billion, two hundred one million, one hundred thirty-four thousand, twenty-four".