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223742529 = 3289279329
BaseRepresentation
bin11010101011000…
…00101001000001
3120121000022001100
431111200221001
5424234230104
634111325013
75354531403
oct1525405101
9517008040
10223742529
1110532a08a
1262b20769
133747b03a
1421a02b73
1514999139
hexd560a41

223742529 has 12 divisors (see below), whose sum is σ = 326816100. Its totient is φ = 147485184.

The previous prime is 223742527. The next prime is 223742539. The reversal of 223742529 is 925247322.

223742529 is a `hidden beast` number, since 223 + 7 + 425 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145154304 + 78588225 = 12048^2 + 8865^2 .

It is not a de Polignac number, because 223742529 - 21 = 223742527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223742493 and 223742502.

It is not an unprimeable number, because it can be changed into a prime (223742527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138864 + ... + 140465.

It is an arithmetic number, because the mean of its divisors is an integer number (27234675).

Almost surely, 2223742529 is an apocalyptic number.

It is an amenable number.

223742529 is a deficient number, since it is larger than the sum of its proper divisors (103073571).

223742529 is a wasteful number, since it uses less digits than its factorization.

223742529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279424 (or 279421 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 223742529 is about 14958.0255715786. The cubic root of 223742529 is about 607.0850165944.

The spelling of 223742529 in words is "two hundred twenty-three million, seven hundred forty-two thousand, five hundred twenty-nine".

Divisors: 1 3 9 89 267 801 279329 837987 2513961 24860281 74580843 223742529