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22404202144 = 254733744203
BaseRepresentation
bin10100110111011001…
…001111111010100000
32010211101110101120121
4110313121033322200
5331340433432034
614143051450024
71422124401412
oct246731177240
963741411517
1022404202144
119557651745
124413156914
13216080515c
14112771a9b2
158b1d721b4
hex53764fea0

22404202144 has 48 divisors (see below), whose sum is σ = 45181438848. Its totient is φ = 10930977792.

The previous prime is 22404202141. The next prime is 22404202187. The reversal of 22404202144 is 44120240422.

It is not an unprimeable number, because it can be changed into a prime (22404202141) by changing a digit.

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, 484747 + ... + 528949.

It is an arithmetic number, because the mean of its divisors is an integer number (941279976).

Almost surely, 222404202144 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 22404202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22590719424).

22404202144 is an abundant number, since it is smaller than the sum of its proper divisors (22777236704).

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

22404202144 is a wasteful number, since it uses less digits than its factorization.

22404202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44597 (or 44589 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22404202144 its reverse (44120240422), we get a palindrome (66524442566).

The spelling of 22404202144 in words is "twenty-two billion, four hundred four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 94 188 337 376 674 752 1348 1504 2696 5392 10784 15839 31678 44203 63356 88406 126712 176812 253424 353624 506848 707248 1414496 2077541 4155082 8310164 14896411 16620328 29792822 33240656 59585644 66481312 119171288 238342576 476685152 700131317 1400262634 2800525268 5601050536 11202101072 22404202144