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161385216 = 2831747263
BaseRepresentation
bin10011001111010…
…00101100000000
3102020200012220020
421213220230000
5312303311331
624003013440
73666515556
oct1147505400
9366605806
10161385216
1183109113
124606a280
1327587115
141760dbd6
15e27cc96
hex99e8b00

161385216 has 144 divisors (see below), whose sum is σ = 466228224. Its totient is φ = 49364992.

The previous prime is 161385209. The next prime is 161385223. The reversal of 161385216 is 612583161.

It is an interprime number because it is at equal distance from previous prime (161385209) and next prime (161385223).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613501 + ... + 613763.

It is an arithmetic number, because the mean of its divisors is an integer number (3237696).

Almost surely, 2161385216 is an apocalyptic number.

161385216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

161385216 is an abundant number, since it is smaller than the sum of its proper divisors (304843008).

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

161385216 is a wasteful number, since it uses less digits than its factorization.

161385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 161385216 is about 12703.7481083340. The cubic root of 161385216 is about 544.4457131474.

The spelling of 161385216 in words is "one hundred sixty-one million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 64 68 94 96 102 128 136 141 188 192 204 256 263 272 282 376 384 408 526 544 564 752 768 789 799 816 1052 1088 1128 1504 1578 1598 1632 2104 2176 2256 2397 3008 3156 3196 3264 4208 4352 4471 4512 4794 6016 6312 6392 6528 8416 8942 9024 9588 12032 12361 12624 12784 13056 13413 16832 17884 18048 19176 24722 25248 25568 26826 33664 35768 36096 37083 38352 49444 50496 51136 53652 67328 71536 74166 76704 98888 100992 102272 107304 143072 148332 153408 197776 201984 204544 210137 214608 286144 296664 306816 395552 420274 429216 572288 593328 613632 630411 791104 840548 858432 1144576 1186656 1260822 1582208 1681096 1716864 2373312 2521644 3164416 3362192 3433728 4746624 5043288 6724384 9493248 10086576 13448768 20173152 26897536 40346304 53795072 80692608 161385216