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22345030441404 = 22331123897873147
BaseRepresentation
bin1010001010010100110111…
…00110100001100110111100
32221010011102120221211012000
411011022123212201212330
510412100110243111104
6115305055410542300
74464242453625126
oct505123346414674
987104376854160
1022345030441404
117135524172250
12260a749597990
13c611869859b8
14573710564216
1528b3a3975639
hex14529b9a19bc

22345030441404 has 96 divisors (see below), whose sum is σ = 63224527699200. Its totient is φ = 6768386153280.

The previous prime is 22345030441373. The next prime is 22345030441423. The reversal of 22345030441404 is 40414403054322.

22345030441404 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 503 + 0 + 4 + 4 + 140 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098442 + ... + 6774705.

It is an arithmetic number, because the mean of its divisors is an integer number (658588830200).

Almost surely, 222345030441404 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 22345030441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31612263849600).

22345030441404 is an abundant number, since it is smaller than the sum of its proper divisors (40879497257796).

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

22345030441404 is a wasteful number, since it uses less digits than its factorization.

22345030441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875560 (or 7875552 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 22345030441404 its reverse (40414403054322), we get a palindrome (62759433495726).

The spelling of 22345030441404 in words is "twenty-two trillion, three hundred forty-five billion, thirty million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2389 4778 7167 9556 14334 21501 26279 28668 43002 52558 64503 78837 86004 105116 129006 157674 236511 258012 315348 473022 709533 946044 1419066 2838132 7873147 15746294 23619441 31492588 47238882 70858323 86604617 94477764 141716646 173209234 212574969 259813851 283433292 346418468 425149938 519627702 779441553 850299876 1039255404 1558883106 2338324659 3117766212 4676649318 9353298636 18808948183 37617896366 56426844549 75235792732 112853689098 169280533647 206898430013 225707378196 338561067294 413796860026 507841600941 620695290039 677122134588 827593720052 1015683201882 1241390580078 1862085870117 2031366403764 2482781160156 3724171740234 5586257610351 7448343480468 11172515220702 22345030441404