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82240422404228 = 221116033116578339
BaseRepresentation
bin10010101100110000010111…
…001010011110000010000100
3101210012002220102212110020222
4102230300113022132002010
541234411341113413403
6450524421204043512
723215450222256414
oct2254602712360204
9353162812773228
1082240422404228
1124227a70497770
1292828b3093598
1336b731415212a
141644659c4a644
159793de9ae338
hex4acc1729e084

82240422404228 has 24 divisors (see below), whose sum is σ = 157014236699040. Its totient is φ = 37379678296320.

The previous prime is 82240422404207. The next prime is 82240422404279.

82240422404228 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57583718 + ... + 58994621.

It is an arithmetic number, because the mean of its divisors is an integer number (6542259862460).

Almost surely, 282240422404228 is an apocalyptic number.

It is an amenable number.

82240422404228 is a deficient number, since it is larger than the sum of its proper divisors (74773814294812).

82240422404228 is a wasteful number, since it uses less digits than its factorization.

82240422404228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116594387 (or 116594385 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 82240422404228 in words is "eighty-two trillion, two hundred forty billion, four hundred twenty-two million, four hundred four thousand, two hundred twenty-eight".

Divisors: 1 2 4 11 22 44 16033 32066 64132 176363 352726 705452 116578339 233156678 466313356 1282361729 2564723458 5129446916 1869100509187 3738201018374 7476402036748 20560105601057 41120211202114 82240422404228