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22665455440 = 245283318193
BaseRepresentation
bin10101000110111101…
…110110011101010000
32011111121001102201121
4111012331312131100
5332404324033230
614225023212024
71431446123005
oct250675663520
964447042647
1022665455440
119681071161
124486747014
1321a29879c4
1411502c58ac
158c9c7a77a
hex546f76750

22665455440 has 20 divisors (see below), whose sum is σ = 52697184084. Its totient is φ = 9066182144.

The previous prime is 22665455437. The next prime is 22665455447. The reversal of 22665455440 is 4455456622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15641004096 + 7024451344 = 125064^2 + 83812^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22665455447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141659017 + ... + 141659176.

Almost surely, 222665455440 is an apocalyptic number.

22665455440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22665455440 is an abundant number, since it is smaller than the sum of its proper divisors (30031728644).

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

22665455440 is a wasteful number, since it uses less digits than its factorization.

22665455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283318206 (or 283318200 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 43.

The spelling of 22665455440 in words is "twenty-two billion, six hundred sixty-five million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283318193 566636386 1133272772 1416590965 2266545544 2833181930 4533091088 5666363860 11332727720 22665455440