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223127242 = 213371371693
BaseRepresentation
bin11010100110010…
…10011011001010
3120112212001000221
431103022123022
5424110032432
634050220254
75346356512
oct1523123312
9515761027
10223127242
11104a49888
126288468a
13372c3c70
14218c2842
15148c6b97
hexd4ca6ca

223127242 has 32 divisors (see below), whose sum is σ = 373100112. Its totient is φ = 99408384.

The previous prime is 223127173. The next prime is 223127249. The reversal of 223127242 is 242721322.

223127242 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 115154361 + 107972881 = 10731^2 + 10391^2 .

It is a super-3 number, since 3×2231272423 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223127249) 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, 130948 + ... + 132640.

Almost surely, 2223127242 is an apocalyptic number.

223127242 is a deficient number, since it is larger than the sum of its proper divisors (149972870).

223127242 is a wasteful number, since it uses less digits than its factorization.

223127242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882.

The product of its digits is 2688, while the sum is 25.

The square root of 223127242 is about 14937.4442927832. Note that the first 3 decimals coincide. The cubic root of 223127242 is about 606.5280155845.

Adding to 223127242 its reverse (242721322), we get a palindrome (465848564).

The spelling of 223127242 in words is "two hundred twenty-three million, one hundred twenty-seven thousand, two hundred forty-two".

Divisors: 1 2 13 26 37 74 137 274 481 962 1693 1781 3386 3562 5069 10138 22009 44018 62641 65897 125282 131794 231941 463882 814333 1628666 3015233 6030466 8581817 17163634 111563621 223127242