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114420224 = 291991123
BaseRepresentation
bin1101101000111…
…10101000000000
321222022011001002
412310132220000
5213242421344
615204231132
72556361442
oct664365000
9258264032
10114420224
1159650676
123239b4a8
131a922299
14112a6492
15a0a244e
hex6d1ea00

114420224 has 40 divisors (see below), whose sum is σ = 229970400. Its totient is φ = 56871936.

The previous prime is 114420221. The next prime is 114420227. The reversal of 114420224 is 422024411.

It is an interprime number because it is at equal distance from previous prime (114420221) and next prime (114420227).

It is a junction number, because it is equal to n+sod(n) for n = 114420196 and 114420205.

It is not an unprimeable number, because it can be changed into a prime (114420221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101327 + ... + 102449.

It is an arithmetic number, because the mean of its divisors is an integer number (5749260).

Almost surely, 2114420224 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 114420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114985200).

114420224 is an abundant number, since it is smaller than the sum of its proper divisors (115550176).

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

114420224 is an equidigital number, since it uses as much as digits as its factorization.

114420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 114420224 is about 10696.7389423132. The cubic root of 114420224 is about 485.4758132042.

Adding to 114420224 its reverse (422024411), we get a palindrome (536444635).

The spelling of 114420224 in words is "one hundred fourteen million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 512 796 1123 1592 2246 3184 4492 6368 8984 12736 17968 25472 35936 50944 71872 101888 143744 223477 287488 446954 574976 893908 1787816 3575632 7151264 14302528 28605056 57210112 114420224