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223952121 = 342764841
BaseRepresentation
bin11010101100100…
…11110011111001
3120121101221120000
431112103303321
5424312431441
634120023213
75356363431
oct1526236371
9517357500
10223952121
111054625a8
1263001b09
1337522563
1421a592c1
15149db2b6
hexd593cf9

223952121 has 10 divisors (see below), whose sum is σ = 334545882. Its totient is φ = 149301360.

The previous prime is 223952117. The next prime is 223952129. The reversal of 223952121 is 121259322.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 122345721 + 101606400 = 11061^2 + 10080^2 .

It is not a de Polignac number, because 223952121 - 22 = 223952117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223952129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1382340 + ... + 1382501.

Almost surely, 2223952121 is an apocalyptic number.

It is an amenable number.

223952121 is a deficient number, since it is larger than the sum of its proper divisors (110593761).

223952121 is an equidigital number, since it uses as much as digits as its factorization.

223952121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764853 (or 2764844 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 223952121 is about 14965.0299364886. The cubic root of 223952121 is about 607.2745208027.

The spelling of 223952121 in words is "two hundred twenty-three million, nine hundred fifty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 2764841 8294523 24883569 74650707 223952121