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22244024144 = 2410952124481
BaseRepresentation
bin10100101101110110…
…001101111101010000
32010102020001111200002
4110231312031331100
5331023432233034
614115130345132
71415141041226
oct245566157520
963366044602
1022244024144
119485198631
12438958b1a8
132136581684
141110342b16
158a2c81e7e
hex52dd8df50

22244024144 has 40 divisors (see below), whose sum is σ = 43578449640. Its totient is φ = 10998374400.

The previous prime is 22244024137. The next prime is 22244024161. The reversal of 22244024144 is 44142044222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37063744 + 22206960400 = 6088^2 + 149020^2 .

It is a super-2 number, since 2×222440241442 (a number of 21 digits) contains 22 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 7 ways as a sum of consecutive naturals, for example, 896384 + ... + 920864.

It is an arithmetic number, because the mean of its divisors is an integer number (1089461241).

Almost surely, 222244024144 is an apocalyptic number.

It is an amenable number.

22244024144 is a deficient number, since it is larger than the sum of its proper divisors (21334425496).

22244024144 is a wasteful number, since it uses less digits than its factorization.

22244024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25119 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 22244024144 its reverse (44142044222), we get a palindrome (66386068366).

The spelling of 22244024144 in words is "twenty-two billion, two hundred forty-four million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 109 218 436 521 872 1042 1744 2084 4168 8336 24481 48962 56789 97924 113578 195848 227156 391696 454312 908624 2668429 5336858 10673716 12754601 21347432 25509202 42694864 51018404 102036808 204073616 1390251509 2780503018 5561006036 11122012072 22244024144