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114205152 = 2531189637
BaseRepresentation
bin1101100111010…
…10000111100000
321221220020000110
412303222013200
5213214031102
615155451320
72554504425
oct663520740
9257806013
10114205152
1159514026
12322b6b40
131a878419
141124bd4c
15a05d86c
hex6cea1e0

114205152 has 24 divisors (see below), whose sum is σ = 299788776. Its totient is φ = 38068352.

The previous prime is 114205151. The next prime is 114205153. The reversal of 114205152 is 251502411.

It is an interprime number because it is at equal distance from previous prime (114205151) and next prime (114205153).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114205151) 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 3 ways as a sum of consecutive naturals, for example, 594723 + ... + 594914.

It is an arithmetic number, because the mean of its divisors is an integer number (12491199).

Almost surely, 2114205152 is an apocalyptic number.

114205152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114205152 is an abundant number, since it is smaller than the sum of its proper divisors (185583624).

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

114205152 is a wasteful number, since it uses less digits than its factorization.

114205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189650 (or 1189642 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 114205152 is about 10686.6810563430. The cubic root of 114205152 is about 485.1714446845.

Adding to 114205152 its reverse (251502411), we get a palindrome (365707563).

The spelling of 114205152 in words is "one hundred fourteen million, two hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1189637 2379274 3568911 4758548 7137822 9517096 14275644 19034192 28551288 38068384 57102576 114205152