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2155333440 = 2635131710159
BaseRepresentation
bin1000000001110111…
…1100011101000000
312120012122021122110
42000131330131000
513403231132230
6553512135320
7104261013651
oct20035743500
95505567573
102155333440
11a066a1a07
12501997540
132846c2a40
14166371528
15c93474b0
hex8077c740

2155333440 has 224 divisors, whose sum is σ = 7803855360. Its totient is φ = 499286016.

The previous prime is 2155333429. The next prime is 2155333441. The reversal of 2155333440 is 443335512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2155333398 and 2155333407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155333441) 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 31 ways as a sum of consecutive naturals, for example, 207081 + ... + 217239.

It is an arithmetic number, because the mean of its divisors is an integer number (34838640).

Almost surely, 22155333440 is an apocalyptic number.

2155333440 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 2155333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901927680).

2155333440 is an abundant number, since it is smaller than the sum of its proper divisors (5648521920).

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

2155333440 is a wasteful number, since it uses less digits than its factorization.

2155333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2155333440 is about 46425.5688171938. The cubic root of 2155333440 is about 1291.7292355308.

Adding to 2155333440 its reverse (443335512), we get a palindrome (2598668952).

The spelling of 2155333440 in words is "two billion, one hundred fifty-five million, three hundred thirty-three thousand, four hundred forty".