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22534200444 = 223716729619
BaseRepresentation
bin10100111111001001…
…001001110001111100
32011011110001222201110
4110333021021301330
5332122223403234
614204014042020
71425263354250
oct247711116174
964143058643
1022534200444
119613a72358
12444a7a9310
13218171cc22
14113aaba260
158bd4a01e9
hex53f249c7c

22534200444 has 72 divisors (see below), whose sum is σ = 60459468160. Its totient is φ = 6399124704.

The previous prime is 22534200371. The next prime is 22534200487. The reversal of 22534200444 is 44400243522.

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 23 ways as a sum of consecutive naturals, for example, 2337867 + ... + 2347485.

Almost surely, 222534200444 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 22534200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30229734080).

22534200444 is an abundant number, since it is smaller than the sum of its proper divisors (37925267716).

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

22534200444 is a wasteful number, since it uses less digits than its factorization.

22534200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22534200444 its reverse (44400243522), we get a palindrome (66934443966).

The spelling of 22534200444 in words is "twenty-two billion, five hundred thirty-four million, two hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 9619 14028 19238 27889 28857 38476 55778 57714 67333 83667 111556 115428 134666 167334 195223 201999 269332 334668 390446 403998 585669 780892 807996 1171338 1606373 2342676 3212746 4819119 6425492 9638238 11244611 19276476 22489222 33733833 44978444 67467666 134935332 268264291 536528582 804792873 1073057164 1609585746 1877850037 3219171492 3755700074 5633550111 7511400148 11267100222 22534200444