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22221101444052 = 22371725516099959
BaseRepresentation
bin1010000110101110000001…
…10110111010101111010100
32220200022112202200110120010
411003113000312322233110
510403032303432202202
6115132122202240220
74452264415550010
oct503270066725724
986608482613503
1022221101444052
117097a0950a285
1225aa721ab6070
13c525967a9c34
1456b7154ab540
1528804dac276c
hex1435c0dbabd4

22221101444052 has 96 divisors (see below), whose sum is σ = 62766538813440. Its totient is φ = 5973078873600.

The previous prime is 22221101444033. The next prime is 22221101444119. The reversal of 22221101444052 is 25044410112222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592849 + ... + 6692807.

It is an arithmetic number, because the mean of its divisors is an integer number (653818112640).

Almost surely, 222221101444052 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 22221101444052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31383269406720).

22221101444052 is an abundant number, since it is smaller than the sum of its proper divisors (40545437369388).

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

22221101444052 is a wasteful number, since it uses less digits than its factorization.

22221101444052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102541 (or 6102539 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 22221101444052 its reverse (25044410112222), we get a palindrome (47265511556274).

The spelling of 22221101444052 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred one million, four hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 2551 5102 7653 10204 15306 17857 30612 35714 43367 53571 71428 86734 107142 130101 173468 214284 260202 303569 520404 607138 910707 1214276 1821414 3642828 6099959 12199918 18299877 24399836 36599754 42699713 73199508 85399426 103699303 128099139 170798852 207398606 256198278 311097909 414797212 512396556 622195818 725895121 1244391636 1451790242 2177685363 2903580484 4355370726 8710741452 15560995409 31121990818 46682986227 62243981636 93365972454 108926967863 186731944908 217853935726 264536921953 326780903589 435707871452 529073843906 653561807178 793610765859 1058147687812 1307123614356 1587221531718 1851758453671 3174443063436 3703516907342 5555275361013 7407033814684 11110550722026 22221101444052