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165630222 = 232231073739
BaseRepresentation
bin10011101111101…
…01000100001110
3102112122212221200
421313311010032
5314400131342
624234010330
74050555642
oct1167650416
9375585850
10165630222
118554848a
12475769a6
1328412364
1417dd6c22
15e81a94c
hex9df510e

165630222 has 48 divisors (see below), whose sum is σ = 378069120. Its totient is φ = 52302096.

The previous prime is 165630221. The next prime is 165630233. The reversal of 165630222 is 222036561.

165630222 is a `hidden beast` number, since 1 + 6 + 5 + 630 + 2 + 22 = 666.

It is a super-4 number, since 4×1656302224 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165630221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42429 + ... + 46167.

It is an arithmetic number, because the mean of its divisors is an integer number (7876440).

Almost surely, 2165630222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165630222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189034560).

165630222 is an abundant number, since it is smaller than the sum of its proper divisors (212438898).

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

165630222 is a wasteful number, since it uses less digits than its factorization.

165630222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165630222 is about 12869.7405568255. The cubic root of 165630222 is about 549.1780803245.

Adding to 165630222 its reverse (222036561), we get a palindrome (387666783).

It can be divided in two parts, 1656 and 30222, that added together give a triangular number (31878 = T252).

The spelling of 165630222 in words is "one hundred sixty-five million, six hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 107 138 207 214 321 414 642 963 1926 2461 3739 4922 7383 7478 11217 14766 22149 22434 33651 44298 67302 85997 171994 257991 400073 515982 773973 800146 1200219 1547946 2400438 3600657 7201314 9201679 18403358 27605037 55210074 82815111 165630222