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40222304640 = 27325721783101
BaseRepresentation
bin100101011101011011…
…111010100110000000
310211211011100210010200
4211131123322212000
51124333402222030
630251115325200
72622513643200
oct453533724600
9124734323120
1040222304640
1116070495891
127966450800
133a40148c7b
141d37d18400
1510a6299d60
hex95d6fa980

40222304640 has 1152 divisors, whose sum is σ = 174848375520. Its totient is φ = 8463974400.

The previous prime is 40222304593. The next prime is 40222304641. The reversal of 40222304640 is 4640322204.

40222304640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40222304641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398240590 + ... + 398240690.

Almost surely, 240222304640 is an apocalyptic number.

40222304640 is a gapful number since it is divisible by the number (40) 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 40222304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87424187760).

40222304640 is an abundant number, since it is smaller than the sum of its proper divisors (134626070880).

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

40222304640 is a wasteful number, since it uses less digits than its factorization.

40222304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40222304640 its reverse (4640322204), we get a palindrome (44862626844).

The spelling of 40222304640 in words is "forty billion, two hundred twenty-two million, three hundred four thousand, six hundred forty".