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114535204 = 227311271039
BaseRepresentation
bin1101101001110…
…10101100100100
321222111222202121
412310322230210
5213310111304
615210515324
72560350610
oct664725444
9258458677
10114535204
1159719aa3
1232435b44
131a962714
14112d6340
15a0c6554
hex6d3ab24

114535204 has 48 divisors (see below), whose sum is σ = 238551040. Its totient is φ = 47083680.

The previous prime is 114535199. The next prime is 114535207. The reversal of 114535204 is 402535411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114535207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109717 + ... + 110755.

Almost surely, 2114535204 is an apocalyptic number.

114535204 is a gapful number since it is divisible by the number (14) 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 114535204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119275520).

114535204 is an abundant number, since it is smaller than the sum of its proper divisors (124015836).

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

114535204 is a wasteful number, since it uses less digits than its factorization.

114535204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 114535204 is about 10702.1121279867. The cubic root of 114535204 is about 485.6383757297.

Subtracting from 114535204 its product of nonzero digits (2400), we obtain a square (114532804 = 107022).

The spelling of 114535204 in words is "one hundred fourteen million, five hundred thirty-five thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 127 217 254 434 508 868 889 1039 1778 2078 3556 3937 4156 7273 7874 14546 15748 27559 29092 32209 55118 64418 110236 128836 131953 225463 263906 450926 527812 901852 923671 1847342 3694684 4090543 8181086 16362172 28633801 57267602 114535204