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224343202122 = 2361316017393
BaseRepresentation
bin1101000011101111100…
…1011001100101001010
3210110001212022111000000
43100323321121211022
512133423324431442
6251021205223430
722131301516524
oct3207371314512
9713055274000
10224343202122
1187163986266
1237590101b76
13182037614a0
14ac03138a14
155c80659d4c
hex343be5994a

224343202122 has 112 divisors (see below), whose sum is σ = 543765200328. Its totient is φ = 68976230400.

The previous prime is 224343202121. The next prime is 224343202163. The reversal of 224343202122 is 221202343422.

224343202122 is a `hidden beast` number, since 2 + 2 + 434 + 3 + 202 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189363355281 + 34979846841 = 435159^2 + 187029^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224343202121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30341658 + ... + 30349050.

Almost surely, 2224343202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224343202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271882600164).

224343202122 is an abundant number, since it is smaller than the sum of its proper divisors (319421998206).

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

224343202122 is a wasteful number, since it uses less digits than its factorization.

224343202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224343202122 its reverse (221202343422), we get a palindrome (445545545544).

The spelling of 224343202122 in words is "two hundred twenty-four billion, three hundred forty-three million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 1601 2106 3159 3202 4803 6318 7393 9477 9606 14409 14786 18954 20813 22179 28818 41626 43227 44358 62439 66537 86454 96109 124878 129681 133074 187317 192218 199611 259362 288327 374634 389043 399222 561951 576654 598833 778086 864981 1123902 1167129 1197666 1685853 1729962 1796499 2334258 2594943 3371706 3592998 5057559 5189886 5389497 7784829 10115118 10778994 11836193 15172677 15569658 23354487 23672386 30345354 35508579 46708974 70063461 71017158 106525737 140126922 153870509 213051474 307741018 319577211 461611527 639154422 923223054 958731633 1384834581 1917463266 2769669162 2876194899 4154503743 5752389798 8309007486 8628584697 12463511229 17257169394 24927022458 37390533687 74781067374 112171601061 224343202122