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161330208 = 25313257503
BaseRepresentation
bin10011001110110…
…11010000100000
3102020120102102220
421213123100200
5312300031313
624001511040
73666166314
oct1147332040
9366512386
10161330208
1183080856
1246042480
1327568080
14175d7b44
15e26b823
hex99db420

161330208 has 96 divisors (see below), whose sum is σ = 458752896. Its totient is φ = 49348608.

The previous prime is 161330201. The next prime is 161330233. The reversal of 161330208 is 802033161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (161330201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320485 + ... + 320987.

It is an arithmetic number, because the mean of its divisors is an integer number (4778676).

Almost surely, 2161330208 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 161330208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229376448).

161330208 is an abundant number, since it is smaller than the sum of its proper divisors (297422688).

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

161330208 is a wasteful number, since it uses less digits than its factorization.

161330208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 161330208 is about 12701.5828934822. The cubic root of 161330208 is about 544.3838481806.

Adding to 161330208 its reverse (802033161), we get a palindrome (963363369).

The spelling of 161330208 in words is "one hundred sixty-one million, three hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 257 312 416 503 514 624 771 1006 1028 1248 1509 1542 2012 2056 3018 3084 3341 4024 4112 6036 6168 6539 6682 8048 8224 10023 12072 12336 13078 13364 16096 19617 20046 24144 24672 26156 26728 39234 40092 48288 52312 53456 78468 80184 104624 106912 129271 156936 160368 209248 258542 313872 320736 387813 517084 627744 775626 1034168 1551252 1680523 2068336 3102504 3361046 4136672 5041569 6205008 6722092 10083138 12410016 13444184 20166276 26888368 40332552 53776736 80665104 161330208