Search a number
-
+
168022674 = 234412617
BaseRepresentation
bin10100000001111…
…01001010010010
3102201011102210000
422000331022102
5321003211144
624401150430
74110112011
oct1200751222
9381142700
10168022674
1186931a16
124832b416
1328a6c301
141845aa78
15eb3e769
hexa03d292

168022674 has 60 divisors (see below), whose sum is σ = 386527482. Its totient is φ = 54552960.

The previous prime is 168022669. The next prime is 168022693. The reversal of 168022674 is 476220861.

It can be written as a sum of positive squares in 3 ways, for example, as 15327225 + 152695449 = 3915^2 + 12357^2 .

It is a super-2 number, since 2×1680226742 = 56463237956220552, which contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 272014 + ... + 272630.

Almost surely, 2168022674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168022674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193263741).

168022674 is an abundant number, since it is smaller than the sum of its proper divisors (218504808).

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

168022674 is an equidigital number, since it uses as much as digits as its factorization.

168022674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168022674 is about 12962.3560358447. The cubic root of 168022674 is about 551.8096579083.

The spelling of 168022674 in words is "one hundred sixty-eight million, twenty-two thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 617 738 1107 1234 1681 1851 2214 3321 3362 3702 5043 5553 6642 10086 11106 15129 16659 25297 30258 33318 45387 49977 50594 75891 90774 99954 136161 151782 227673 272322 455346 683019 1037177 1366038 2049057 2074354 3111531 4098114 6223062 9334593 18669186 28003779 56007558 84011337 168022674