Search a number
-
+
2168208016 = 241317613181
BaseRepresentation
bin1000000100111100…
…0011101010010000
312121002212101020121
42001033003222100
513420030124031
6555052120024
7104505315112
oct20117035220
95532771217
102168208016
11a12995857
12506166014
1328727cb30
14167d633b2
15ca53c011
hex813c3a90

2168208016 has 40 divisors (see below), whose sum is σ = 4790177784. Its totient is φ = 941844480.

The previous prime is 2168208013. The next prime is 2168208019. The reversal of 2168208016 is 6108028612.

It is an interprime number because it is at equal distance from previous prime (2168208013) and next prime (2168208019).

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 2160390400 = 2796^2 + 46480^2 .

It is a super-2 number, since 2×21682080162 = 9402252001293312512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2168208013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303055 + ... + 310126.

Almost surely, 22168208016 is an apocalyptic number.

2168208016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2168208016 is an abundant number, since it is smaller than the sum of its proper divisors (2621969768).

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

2168208016 is a wasteful number, since it uses less digits than its factorization.

2168208016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613219 (or 613213 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 2168208016 is about 46564.0206167809. The cubic root of 2168208016 is about 1294.2961179322.

The spelling of 2168208016 in words is "two billion, one hundred sixty-eight million, two hundred eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 613181 1226362 2452724 4905448 7971353 9810896 10424077 15942706 20848154 31885412 41696308 63770824 83392616 127541648 135513001 166785232 271026002 542052004 1084104008 2168208016