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168892812 = 223211716007
BaseRepresentation
bin10100001000100…
…01100110001100
3102202210122101100
422010101212030
5321214032222
624431543100
74120364604
oct1204214614
9382718340
10168892812
1187376740
124868aa90
1328cb539a
1418605c04
15ec624ac
hexa11198c

168892812 has 72 divisors (see below), whose sum is σ = 472372992. Its totient is φ = 50450400.

The previous prime is 168892793. The next prime is 168892819. The reversal of 168892812 is 218298861.

It is a happy number.

168892812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (168892819) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25113 + ... + 31119.

It is an arithmetic number, because the mean of its divisors is an integer number (6560736).

Almost surely, 2168892812 is an apocalyptic number.

168892812 is a gapful number since it is divisible by the number (12) 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 168892812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236186496).

168892812 is an abundant number, since it is smaller than the sum of its proper divisors (303480180).

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

168892812 is a wasteful number, since it uses less digits than its factorization.

168892812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6099 (or 6094 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 168892812 is about 12995.8767307173. The cubic root of 168892812 is about 552.7605694058.

It can be divided in two parts, 16889 and 2812, that added together give a triangular number (19701 = T198).

The spelling of 168892812 in words is "one hundred sixty-eight million, eight hundred ninety-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 6007 7029 9372 12014 14058 18021 24028 28116 36042 54063 66077 72084 108126 132154 198231 216252 264308 396462 426497 594693 792924 852994 1189386 1279491 1705988 2378772 2558982 3838473 4691467 5117964 7676946 9382934 14074401 15353892 18765868 28148802 42223203 56297604 84446406 168892812