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181980216 = 233311191401
BaseRepresentation
bin10101101100011…
…00110000111000
3110200102112221000
422312030300320
5333041331331
630020245000
74336543365
oct1266146070
9420375830
10181980216
11937a5480
1250b40760
132b918302
141a25146c
1510e9a0e6
hexad8cc38

181980216 has 128 divisors (see below), whose sum is σ = 555724800. Its totient is φ = 54720000.

The previous prime is 181980203. The next prime is 181980221. The reversal of 181980216 is 612089181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 453616 + ... + 454016.

It is an arithmetic number, because the mean of its divisors is an integer number (4341600).

Almost surely, 2181980216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181980216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277862400).

181980216 is an abundant number, since it is smaller than the sum of its proper divisors (373744584).

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

181980216 is a wasteful number, since it uses less digits than its factorization.

181980216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 181980216 is about 13490.0042994804. The cubic root of 181980216 is about 566.6845758277.

The spelling of 181980216 in words is "one hundred eighty-one million, nine hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 191 198 216 264 297 382 396 401 573 594 764 792 802 1146 1188 1203 1528 1604 1719 2101 2292 2376 2406 3208 3438 3609 4202 4411 4584 4812 5157 6303 6876 7218 8404 8822 9624 10314 10827 12606 13233 13752 14436 16808 17644 18909 20628 21654 25212 26466 28872 35288 37818 39699 41256 43308 50424 52932 56727 75636 76591 79398 86616 105864 113454 119097 151272 153182 158796 226908 229773 238194 306364 317592 453816 459546 476388 612728 689319 842501 919092 952776 1378638 1685002 1838184 2067957 2527503 2757276 3370004 4135914 5055006 5514552 6740008 7582509 8271828 10110012 15165018 16543656 20220024 22747527 30330036 45495054 60660072 90990108 181980216