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1995222240 = 25335113347
BaseRepresentation
bin111011011101100…
…1010110011100000
312011001100210101000
41312323022303200
513041234102430
6525552312000
7100305052314
oct16673126340
95131323330
101995222240
11934284000
12478242600
1325a49379b
1414cdb3b44
15ba26be60
hex76ecace0

1995222240 has 384 divisors, whose sum is σ = 7703216640. Its totient is φ = 482296320.

The previous prime is 1995222233. The next prime is 1995222277. The reversal of 1995222240 is 422225991.

1995222240 is a `hidden beast` number, since 1 + 99 + 522 + 2 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1995222195 and 1995222204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5749747 + ... + 5750093.

It is an arithmetic number, because the mean of its divisors is an integer number (20060460).

Almost surely, 21995222240 is an apocalyptic number.

1995222240 is a gapful number since it is divisible by the number (10) 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 1995222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851608320).

1995222240 is an abundant number, since it is smaller than the sum of its proper divisors (5707994400).

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

1995222240 is a wasteful number, since it uses less digits than its factorization.

1995222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1995222240 is about 44667.9106294440. The cubic root of 1995222240 is about 1258.9169832058.

It can be divided in two parts, 19 and 95222240, that added together give a palindrome (95222259).

The spelling of 1995222240 in words is "one billion, nine hundred ninety-five million, two hundred twenty-two thousand, two hundred forty".