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2193466640 = 24527418333
BaseRepresentation
bin1000001010111101…
…1010010100010000
312122212101122120012
42002233122110100
513443011413030
61001353334052
7105233105321
oct20257322420
95585348505
102193466640
11a26177a52
12512707328
1328c584971
1416b45a448
15cc87b095
hex82bda510

2193466640 has 20 divisors (see below), whose sum is σ = 5099810124. Its totient is φ = 877386624.

The previous prime is 2193466603. The next prime is 2193466643. The reversal of 2193466640 is 466643912.

It can be written as a sum of positive squares in 2 ways, for example, as 1202979856 + 990486784 = 34684^2 + 31472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×21934666402 = 9622591801585779200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2193466643) 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 3 ways as a sum of consecutive naturals, for example, 13709087 + ... + 13709246.

Almost surely, 22193466640 is an apocalyptic number.

2193466640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2193466640 is an abundant number, since it is smaller than the sum of its proper divisors (2906343484).

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

2193466640 is a wasteful number, since it uses less digits than its factorization.

2193466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27418346 (or 27418340 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 2193466640 is about 46834.4599627240. The cubic root of 2193466640 is about 1299.3027108702.

The spelling of 2193466640 in words is "two billion, one hundred ninety-three million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27418333 54836666 109673332 137091665 219346664 274183330 438693328 548366660 1096733320 2193466640