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840222144 = 263217531619
BaseRepresentation
bin110010000101001…
…100010111000000
32011120000201002200
4302011030113000
53210044102034
6215212513200
726551525146
oct6205142700
92146021080
10840222144
113a1313373
121b547b800
131050c6888
147d839596
154db6ea99
hex3214c5c0

840222144 has 168 divisors, whose sum is σ = 2599730640. Its totient is φ = 258465792.

The previous prime is 840222137. The next prime is 840222167. The reversal of 840222144 is 441222048.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518167 + ... + 519785.

Almost surely, 2840222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299865320).

840222144 is an abundant number, since it is smaller than the sum of its proper divisors (1759508496).

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

840222144 is a wasteful number, since it uses less digits than its factorization.

840222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 840222144 is about 28986.5855871298. The cubic root of 840222144 is about 943.6219639237.

The spelling of 840222144 in words is "eight hundred forty million, two hundred twenty-two thousand, one hundred forty-four".