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161216368 = 24193117107
BaseRepresentation
bin10011001101111…
…11011101110000
3102020100122021121
421212333131300
5312232410433
623555232024
73665213365
oct1146773560
9366318247
10161216368
1183003275
1245ba8614
1327528301
14175a846c
15e247c2d
hex99bf770

161216368 has 40 divisors (see below), whose sum is σ = 339422720. Its totient is φ = 73897920.

The previous prime is 161216359. The next prime is 161216369. The reversal of 161216368 is 863612161.

It is a happy number.

161216368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1612163682 = 51981434622222848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161216369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 871 + ... + 17977.

It is an arithmetic number, because the mean of its divisors is an integer number (8485568).

Almost surely, 2161216368 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 161216368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169711360).

161216368 is an abundant number, since it is smaller than the sum of its proper divisors (178206352).

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

161216368 is a wasteful number, since it uses less digits than its factorization.

161216368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17165 (or 17159 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 161216368 is about 12697.1007714360. The cubic root of 161216368 is about 544.2557728903.

The spelling of 161216368 in words is "one hundred sixty-one million, two hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 17107 34214 68428 136856 273712 325033 530317 650066 1060634 1300132 2121268 2600264 4242536 5200528 8485072 10076023 20152046 40304092 80608184 161216368