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22240100224 = 27792199377
BaseRepresentation
bin10100101101100111…
…001111111110000000
32010101221200011001201
4110231213033332000
5331021431201344
614114510310544
71415062506226
oct245547177600
963357604051
1022240100224
119482a58521
1243881b8454
132135809624
14110da00b16
158a27594d4
hex52d9cff80

22240100224 has 32 divisors (see below), whose sum is σ = 44867311200. Its totient is φ = 10979284992.

The previous prime is 22240100189. The next prime is 22240100231. The reversal of 22240100224 is 42200104222.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×222401002243 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1089577 + ... + 1109800.

It is an arithmetic number, because the mean of its divisors is an integer number (1402103475).

Almost surely, 222240100224 is an apocalyptic number.

It is an amenable number.

22240100224 is an abundant number, since it is smaller than the sum of its proper divisors (22627210976).

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

22240100224 is an equidigital number, since it uses as much as digits as its factorization.

22240100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199470 (or 2199458 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 22240100224 its reverse (42200104222), we get a palindrome (64440204446).

The spelling of 22240100224 in words is "twenty-two billion, two hundred forty million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 2199377 4398754 8797508 17595016 35190032 70380064 140760128 173750783 281520256 347501566 695003132 1390006264 2780012528 5560025056 11120050112 22240100224