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2082333168 = 243229498643
BaseRepresentation
bin111110000011101…
…1110000111110000
312101010021111002200
41330013132013300
513231034130133
6542343343200
7102413353116
oct17407360760
95333244080
102082333168
11979471803
124a1451b00
13272543706
1415a7abab6
15c2c27913
hex7c1de1f0

2082333168 has 60 divisors (see below), whose sum is σ = 6028605960. Its totient is φ = 670174848.

The previous prime is 2082333119. The next prime is 2082333173. The reversal of 2082333168 is 8613332802.

It is a super-2 number, since 2×20823331682 = 8672222845105832448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245146 + ... + 253497.

It is an arithmetic number, because the mean of its divisors is an integer number (100476766).

Almost surely, 22082333168 is an apocalyptic number.

It is an amenable number.

2082333168 is an abundant number, since it is smaller than the sum of its proper divisors (3946272792).

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

2082333168 is a wasteful number, since it uses less digits than its factorization.

2082333168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498686 (or 498677 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2082333168 is about 45632.5888811932. The cubic root of 2082333168 is about 1276.9779716395.

The spelling of 2082333168 in words is "two billion, eighty-two million, three hundred thirty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 498643 997286 1495929 1994572 2991858 3989144 4487787 5983716 7978288 8975574 11967432 14460647 17951148 23934864 28921294 35902296 43381941 57842588 71804592 86763882 115685176 130145823 173527764 231370352 260291646 347055528 520583292 694111056 1041166584 2082333168