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168222168 = 233212718397
BaseRepresentation
bin10100000011011…
…01110111011000
3102201112120102200
422001231313120
5321031102133
624405330200
74111602432
oct1201556730
9381476380
10168222168
1186a58894
1248406960
1328b0c05a
14184ad652
15eb7d913
hexa06ddd8

168222168 has 48 divisors (see below), whose sum is σ = 459214080. Its totient is φ = 55629504.

The previous prime is 168222137. The next prime is 168222169. The reversal of 168222168 is 861222861.

168222168 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168222169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55 + ... + 18342.

It is an arithmetic number, because the mean of its divisors is an integer number (9566960).

Almost surely, 2168222168 is an apocalyptic number.

168222168 is a gapful number since it is divisible by the number (18) 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 168222168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229607040).

168222168 is an abundant number, since it is smaller than the sum of its proper divisors (290991912).

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

168222168 is a wasteful number, since it uses less digits than its factorization.

168222168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18536 (or 18529 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 168222168 is about 12970.0488819434. The cubic root of 168222168 is about 552.0279601464.

The spelling of 168222168 in words is "one hundred sixty-eight million, two hundred twenty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 18397 36794 55191 73588 110382 147176 165573 220764 331146 441528 662292 1324584 2336419 4672838 7009257 9345676 14018514 18691352 21027771 28037028 42055542 56074056 84111084 168222168