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2193493320 = 2332546113217
BaseRepresentation
bin1000001010111110…
…0000110101001000
312122212110000011100
42002233200311020
513443013241240
61001354101400
7105233246154
oct20257406510
95585400140
102193493320
11a26195aa7
1251271a860
1328c593b55
1416b466064
15cc883e30
hex82be0d48

2193493320 has 96 divisors (see below), whose sum is σ = 7144857720. Its totient is φ = 583618560.

The previous prime is 2193493303. The next prime is 2193493321. The reversal of 2193493320 is 233943912.

2193493320 is a `hidden beast` number, since 219 + 34 + 93 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1487953476 + 705539844 = 38574^2 + 26562^2 .

It is a super-2 number, since 2×21934933202 = 9622825889769244800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2193493321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159352 + ... + 172568.

Almost surely, 22193493320 is an apocalyptic number.

2193493320 is a gapful number since it is divisible by the number (20) 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 2193493320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572428860).

2193493320 is an abundant number, since it is smaller than the sum of its proper divisors (4951364400).

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

2193493320 is a wasteful number, since it uses less digits than its factorization.

2193493320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13695 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2193493320 is about 46834.7447948636. The cubic root of 2193493320 is about 1299.3079788259.

The spelling of 2193493320 in words is "two billion, one hundred ninety-three million, four hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 461 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 8298 9220 11064 13217 13830 16596 18440 20745 26434 27660 33192 39651 41490 52868 55320 66085 79302 82980 105736 118953 132170 158604 165960 198255 237906 264340 317208 396510 475812 528680 594765 793020 951624 1189530 1586040 2379060 4758120 6093037 12186074 18279111 24372148 30465185 36558222 48744296 54837333 60930370 73116444 91395555 109674666 121860740 146232888 182791110 219349332 243721480 274186665 365582220 438698664 548373330 731164440 1096746660 2193493320