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163661022 = 232719137499
BaseRepresentation
bin10011100000101…
…00010011011110
3102101221211201100
421300110103132
5313344123042
624123453530
74025044560
oct1160242336
9371854640
10163661022
1184422a48
12469872a6
1327ba2c55
1417a43330
15e57c24c
hex9c144de

163661022 has 96 divisors (see below), whose sum is σ = 430560000. Its totient is φ = 43887744.

The previous prime is 163661021. The next prime is 163661063. The reversal of 163661022 is 220166361.

163661022 is a `hidden beast` number, since 1 + 636 + 6 + 1 + 0 + 22 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163661021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327729 + ... + 328227.

It is an arithmetic number, because the mean of its divisors is an integer number (4485000).

Almost surely, 2163661022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163661022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215280000).

163661022 is an abundant number, since it is smaller than the sum of its proper divisors (266898978).

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

163661022 is a wasteful number, since it uses less digits than its factorization.

163661022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 163661022 is about 12793.0067615084. The cubic root of 163661022 is about 546.9929802904.

The spelling of 163661022 in words is "one hundred sixty-three million, six hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 137 171 266 274 342 399 411 499 798 822 959 998 1197 1233 1497 1918 2394 2466 2603 2877 2994 3493 4491 5206 5754 6986 7809 8631 8982 9481 10479 15618 17262 18221 18962 20958 23427 28443 31437 36442 46854 54663 56886 62874 66367 68363 85329 109326 132734 136726 163989 170658 199101 205089 327978 398202 410178 478541 597303 615267 957082 1194606 1230534 1298897 1435623 2597794 2871246 3896691 4306869 7793382 8613738 9092279 11690073 18184558 23380146 27276837 54553674 81830511 163661022