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22224010201232 = 2471919187113083
BaseRepresentation
bin1010000110110011011100…
…01110111100100010010000
32220200121001111000122021112
411003121232032330202100
510403104233102414412
6115133322551112452
74452426455562440
oct503315616744220
986617044018245
1022224010201232
11709917141a634
1225ab1b4072728
13c5293b2c5928
1456b90d922120
1528816e141722
hex14366e3bc890

22224010201232 has 80 divisors (see below), whose sum is σ = 49473775951872. Its totient is φ = 9473593818240.

The previous prime is 22224010201157. The next prime is 22224010201247. The reversal of 22224010201232 is 23210201042222.

It is a super-2 number, since 2×222240102012322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22224010201198 and 22224010201207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196471763 + ... + 196584845.

Almost surely, 222224010201232 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 22224010201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736887975936).

22224010201232 is an abundant number, since it is smaller than the sum of its proper divisors (27249765750640).

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

22224010201232 is a wasteful number, since it uses less digits than its factorization.

22224010201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122476 (or 122470 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 22224010201232 its reverse (23210201042222), we get a palindrome (45434211243454).

The spelling of 22224010201232 in words is "twenty-two trillion, two hundred twenty-four billion, ten million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1337 1528 2674 3056 5348 9187 10696 18374 21392 36748 64309 73496 113083 128618 146992 226166 257236 452332 514472 791581 904664 1028944 1583162 1754717 1809328 3166324 3509434 6332648 7018868 12283019 12665296 14037736 21598853 24566038 28075472 43197706 49132076 86395412 98264152 151191971 172790824 196528304 302383942 345581648 604767884 1038893521 1209535768 2077787042 2419071536 4155574084 7272254647 8311148168 14544509294 16622296336 29089018588 58178037176 116356074352 198428662511 396857325022 793714650044 1389000637577 1587429300088 2778001275154 3174858600176 5556002550308 11112005100616 22224010201232