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22406642384 = 24734786869
BaseRepresentation
bin10100110111100010…
…100011101011010000
32010211120001100221212
4110313202203223100
5331342100024014
614143220035252
71422154214000
oct246742435320
963746040855
1022406642384
119558a69075
124413b32b28
13216117aa99
141127b94000
158b21a523e
hex5378a3ad0

22406642384 has 80 divisors (see below), whose sum is σ = 51705024000. Its totient is φ = 9398422656.

The previous prime is 22406642383. The next prime is 22406642429. The reversal of 22406642384 is 48324660422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406642381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214502 + ... + 301370.

It is an arithmetic number, because the mean of its divisors is an integer number (646312800).

Almost surely, 222406642384 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 22406642384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25852512000).

22406642384 is an abundant number, since it is smaller than the sum of its proper divisors (29298381616).

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

22406642384 is an equidigital number, since it uses as much as digits as its factorization.

22406642384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86945 (or 86925 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 22406642384 in words is "twenty-two billion, four hundred six million, six hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 343 376 392 658 686 752 784 1316 1372 2303 2632 2744 4606 5264 5488 9212 16121 18424 32242 36848 64484 86869 128968 173738 257936 347476 608083 694952 1216166 1389904 2432332 4082843 4256581 4864664 8165686 8513162 9729328 16331372 17026324 28579901 29796067 32662744 34052648 57159802 59592134 65325488 68105296 114319604 119184268 200059307 228639208 238368536 400118614 457278416 476737072 800237228 1400415149 1600474456 2800830298 3200948912 5601660596 11203321192 22406642384