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229236642 = 2341579013
BaseRepresentation
bin11011010100111…
…01111110100010
3120222100102120000
431222131332202
5432141033032
634425200430
75452323255
oct1552357642
9528312500
10229236642
11108441978
1264930116
13386529ab
142263309c
15151d1e7c
hexda9dfa2

229236642 has 40 divisors (see below), whose sum is σ = 516988956. Its totient is φ = 75917088.

The previous prime is 229236563. The next prime is 229236643. The reversal of 229236642 is 246632922.

229236642 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 3 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225630441 + 3606201 = 15021^2 + 1899^2 .

It is a junction number, because it is equal to n+sod(n) for n = 229236597 and 229236606.

It is not an unprimeable number, because it can be changed into a prime (229236643) 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 19 ways as a sum of consecutive naturals, for example, 20928 + ... + 29940.

Almost surely, 2229236642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229236642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258494478).

229236642 is an abundant number, since it is smaller than the sum of its proper divisors (287752314).

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

229236642 is a wasteful number, since it uses less digits than its factorization.

229236642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9175 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 229236642 is about 15140.5628032778. The cubic root of 229236642 is about 612.0139846862.

The spelling of 229236642 in words is "two hundred twenty-nine million, two hundred thirty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 314 471 942 1413 2826 4239 8478 9013 12717 18026 25434 27039 54078 81117 162234 243351 486702 730053 1415041 1460106 2830082 4245123 8490246 12735369 25470738 38206107 76412214 114618321 229236642