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111422592 = 27323112
BaseRepresentation
bin1101010010000…
…10110010000000
321202122212001200
412221002302000
5212011010332
615020101200
72522035131
oct651026200
9252585050
10111422592
1157993496
1231394800
131a112a38
1410b25c88
159bae17c
hex6a42c80

111422592 has 72 divisors (see below), whose sum is σ = 321664395. Its totient is φ = 37021440.

The previous prime is 111422581. The next prime is 111422599. The reversal of 111422592 is 295224111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 55711296 + 55711296 = 7464^2 + 7464^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7464.

It is not an unprimeable number, because it can be changed into a prime (111422599) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 358117 + ... + 358427.

Almost surely, 2111422592 is an apocalyptic number.

111422592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111422592

111422592 is an abundant number, since it is smaller than the sum of its proper divisors (210241803).

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

111422592 is an frugal number, since it uses more digits than its factorization.

111422592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 316 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 111422592 is about 10555.6900295528. The cubic root of 111422592 is about 481.1986708172.

The spelling of 111422592 in words is "one hundred eleven million, four hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 311 384 576 622 933 1152 1244 1866 2488 2799 3732 4976 5598 7464 9952 11196 14928 19904 22392 29856 39808 44784 59712 89568 96721 119424 179136 193442 290163 358272 386884 580326 773768 870489 1160652 1547536 1740978 2321304 3095072 3481956 4642608 6190144 6963912 9285216 12380288 13927824 18570432 27855648 37140864 55711296 111422592