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22051331424 = 2532186141143
BaseRepresentation
bin10100100010010111…
…001001110101100000
32002220210110200221200
4110202113021311200
5330130120101144
614044044321200
71410311136663
oct244227116540
962823420850
1022051331424
119396446751
124334b43200
132105685405
1410d29036da
15890dbcc69
hex5225c9d60

22051331424 has 72 divisors (see below), whose sum is σ = 62743694832. Its totient is φ = 7346315520.

The previous prime is 22051331413. The next prime is 22051331461. The reversal of 22051331424 is 42413315022.

22051331424 is a `hidden beast` number, since 2 + 2 + 0 + 513 + 3 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×220513314242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515397 + ... + 556539.

It is an arithmetic number, because the mean of its divisors is an integer number (871440206).

Almost surely, 222051331424 is an apocalyptic number.

22051331424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22051331424 is an abundant number, since it is smaller than the sum of its proper divisors (40692363408).

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

22051331424 is a wasteful number, since it uses less digits than its factorization.

22051331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43020 (or 43009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22051331424 its reverse (42413315022), we get a palindrome (64464646446).

The spelling of 22051331424 in words is "twenty-two billion, fifty-one million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1861 3722 5583 7444 11166 14888 16749 22332 29776 33498 41143 44664 59552 66996 82286 89328 123429 133992 164572 178656 246858 267984 329144 370287 493716 535968 658288 740574 987432 1316576 1481148 1974864 2962296 3949728 5924592 11849184 76567123 153134246 229701369 306268492 459402738 612536984 689104107 918805476 1225073968 1378208214 1837610952 2450147936 2756416428 3675221904 5512832856 7350443808 11025665712 22051331424