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108221616 = 2433673739
BaseRepresentation
bin1100111001101…
…01010010110000
321112122020011000
412130311102300
5210201042431
614423322000
72452603626
oct634652260
9245566130
10108221616
11560a7558
12302b0300
1319561a79
1410531516
15977a9e6
hex67354b0

108221616 has 80 divisors (see below), whose sum is σ = 315356800. Its totient is φ = 35525952.

The previous prime is 108221611. The next prime is 108221621. The reversal of 108221616 is 616122801.

It is an interprime number because it is at equal distance from previous prime (108221611) and next prime (108221621).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 108221616.

It is not an unprimeable number, because it can be changed into a prime (108221611) 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 15 ways as a sum of consecutive naturals, for example, 27075 + ... + 30813.

It is an arithmetic number, because the mean of its divisors is an integer number (3941960).

Almost surely, 2108221616 is an apocalyptic number.

108221616 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 108221616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157678400).

108221616 is an abundant number, since it is smaller than the sum of its proper divisors (207135184).

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

108221616 is a wasteful number, since it uses less digits than its factorization.

108221616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108221616 is about 10402.9618859246. The cubic root of 108221616 is about 476.5458277374.

The spelling of 108221616 in words is "one hundred eight million, two hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 3739 4824 7236 7478 9648 11217 14472 14956 22434 28944 29912 33651 44868 59824 67302 89736 100953 134604 179472 201906 250513 269208 403812 501026 538416 751539 807624 1002052 1503078 1615248 2004104 2254617 3006156 4008208 4509234 6012312 6763851 9018468 12024624 13527702 18036936 27055404 36073872 54110808 108221616