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221330102022 = 233171923551717
BaseRepresentation
bin1100111000100001001…
…1010101011100000110
3210011021212122010201000
43032020103111130012
512111241001231042
6245402212114130
721663523553241
oct3161023253406
9704255563630
10221330102022
1185958088597
1236a8b005946
1317b43441313
14a9d8cc2258
155b55d7974c
hex33884d5706

221330102022 has 128 divisors (see below), whose sum is σ = 572021222400. Its totient is φ = 62922106368.

The previous prime is 221330102009. The next prime is 221330102083. The reversal of 221330102022 is 220201033122.

It is a super-2 number, since 2×2213301020222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221330101986 and 221330102004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125308 + ... + 677024.

It is an arithmetic number, because the mean of its divisors is an integer number (4468915800).

Almost surely, 2221330102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221330102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286010611200).

221330102022 is an abundant number, since it is smaller than the sum of its proper divisors (350691120378).

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

221330102022 is a wasteful number, since it uses less digits than its factorization.

221330102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551787 (or 551781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221330102022 its reverse (220201033122), we get a palindrome (441531135144).

The spelling of 221330102022 in words is "two hundred twenty-one billion, three hundred thirty million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 19 23 27 34 38 46 51 54 57 69 102 114 138 153 171 207 306 323 342 391 414 437 459 513 621 646 782 874 918 969 1026 1173 1242 1311 1938 2346 2622 2907 3519 3933 5814 7038 7429 7866 8721 10557 11799 14858 17442 21114 22287 23598 44574 66861 133722 200583 401166 551717 1103434 1655151 3310302 4965453 9379189 9930906 10482623 12689491 14896359 18758378 20965246 25378982 28137567 29792718 31447869 38068473 56275134 62895738 76136946 84412701 94343607 114205419 168825402 178204591 188687214 215721347 228410838 241100329 253238103 283030821 342616257 356409182 431442694 482200658 506476206 534613773 566061642 647164041 685232514 723300987 1069227546 1294328082 1446601974 1603841319 1941492123 2169902961 3207682638 3882984246 4098705593 4339805922 4811523957 5824476369 6509708883 8197411186 9623047914 11648952738 12296116779 13019417766 24592233558 36888350337 73776700674 110665051011 221330102022