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223125123 = 313397349
BaseRepresentation
bin11010100110010…
…01111010000011
3120112211221010110
431103021322003
5424110000443
634050202403
75346350364
oct1523117203
9515757113
10223125123
11104a48231
1262883403
13372c3000
14218c1b6b
15148c6233
hexd4c9e83

223125123 has 32 divisors (see below), whose sum is σ = 326536000. Its totient is φ = 135502848.

The previous prime is 223125109. The next prime is 223125127. The reversal of 223125123 is 321521322.

223125123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223125123 - 212 = 223121027 is a prime.

It is a super-3 number, since 3×2231251233 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223125123.

It is not an unprimeable number, because it can be changed into a prime (223125127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639153 + ... + 639501.

It is an arithmetic number, because the mean of its divisors is an integer number (10204250).

Almost surely, 2223125123 is an apocalyptic number.

223125123 is a deficient number, since it is larger than the sum of its proper divisors (103410877).

223125123 is an equidigital number, since it uses as much as digits as its factorization.

223125123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 223125123 is about 14937.3733634799. The cubic root of 223125123 is about 606.5260955486.

Adding to 223125123 its reverse (321521322), we get a palindrome (544646445).

The spelling of 223125123 in words is "two hundred twenty-three million, one hundred twenty-five thousand, one hundred twenty-three".

Divisors: 1 3 13 39 97 169 291 349 507 1047 1261 2197 3783 4537 6591 13611 16393 33853 49179 58981 101559 176943 213109 440089 639327 766753 1320267 2300259 5721157 17163471 74375041 223125123