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114226240 = 265491727
BaseRepresentation
bin1101100111011…
…11010001000000
321221221021221111
412303233101000
5213220214430
615200133104
72554623052
oct663572100
9257837844
10114226240
1159528957
1232307194
131a884bbb
14112558d2
15a064c2a
hex6cef440

114226240 has 56 divisors (see below), whose sum is σ = 272930112. Its totient is φ = 45534720.

The previous prime is 114226207. The next prime is 114226241. The reversal of 114226240 is 42622411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114226241) 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 7 ways as a sum of consecutive naturals, for example, 156757 + ... + 157483.

It is an arithmetic number, because the mean of its divisors is an integer number (4873752).

Almost surely, 2114226240 is an apocalyptic number.

114226240 is a gapful number since it is divisible by the number (10) 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 114226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136465056).

114226240 is an abundant number, since it is smaller than the sum of its proper divisors (158703872).

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

114226240 is an equidigital number, since it uses as much as digits as its factorization.

114226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 114226240 is about 10687.6676595036. The cubic root of 114226240 is about 485.2013051755.

Adding to 114226240 its reverse (42622411), we get a palindrome (156848651).

The spelling of 114226240 in words is "one hundred fourteen million, two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 491 727 982 1454 1964 2455 2908 3635 3928 4910 5816 7270 7856 9820 11632 14540 15712 19640 23264 29080 31424 39280 46528 58160 78560 116320 157120 232640 356957 713914 1427828 1784785 2855656 3569570 5711312 7139140 11422624 14278280 22845248 28556560 57113120 114226240