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22142011440 = 2435157587633
BaseRepresentation
bin10100100111110001…
…000100100000110000
32010011010002201112210
4110213301010200300
5330321323331230
614101044052120
71412461664133
oct244761044060
963133081483
1022142011440
119432651a0a
12435b394040
13211b3b4a23
14110098a21a
15898d30eb0
hex527c44830

22142011440 has 80 divisors (see below), whose sum is σ = 69077551968. Its totient is φ = 5866917888.

The previous prime is 22142011433. The next prime is 22142011447. The reversal of 22142011440 is 4411024122.

It is an interprime number because it is at equal distance from previous prime (22142011433) and next prime (22142011447).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22142011447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256137 + ... + 331496.

Almost surely, 222142011440 is an apocalyptic number.

22142011440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142011440 is an abundant number, since it is smaller than the sum of its proper divisors (46935540528).

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

22142011440 is a wasteful number, since it uses less digits than its factorization.

22142011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587806 (or 587800 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22142011440 its reverse (4411024122), we get a palindrome (26553035562).

The spelling of 22142011440 in words is "twenty-two billion, one hundred forty-two million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 587633 1175266 1762899 2350532 2938165 3525798 4701064 5876330 7051596 8814495 9402128 11752660 14103192 17628990 23505320 28206384 35257980 47010640 70515960 92258381 141031920 184516762 276775143 369033524 461291905 553550286 738067048 922583810 1107100572 1383875715 1476134096 1845167620 2214201144 2767751430 3690335240 4428402288 5535502860 7380670480 11071005720 22142011440