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114623300 = 22521129473
BaseRepresentation
bin1101101010100…
…00001101000100
321222200110121102
412311100031010
5213320421200
615212435232
72561165501
oct665201504
9258613542
10114623300
115977a200
1232478b18
131a99384c
141131a4a8
15a0e26d5
hex6d50344

114623300 has 54 divisors (see below), whose sum is σ = 273429114. Its totient is φ = 41676800.

The previous prime is 114623291. The next prime is 114623309. The reversal of 114623300 is 3326411.

It is an interprime number because it is at equal distance from previous prime (114623291) and next prime (114623309).

It can be written as a sum of positive squares in 3 ways, for example, as 32467204 + 82156096 = 5698^2 + 9064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114623309) 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 17 ways as a sum of consecutive naturals, for example, 7364 + ... + 16836.

Almost surely, 2114623300 is an apocalyptic number.

114623300 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 114623300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136714557).

114623300 is an abundant number, since it is smaller than the sum of its proper divisors (158805814).

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

114623300 is a wasteful number, since it uses less digits than its factorization.

114623300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 114623300 is about 10706.2271599289. The cubic root of 114623300 is about 485.7628551695.

Adding to 114623300 its reverse (3326411), we get a palindrome (117949711).

The spelling of 114623300 in words is "one hundred fourteen million, six hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 9473 12100 18946 37892 47365 94730 104203 189460 208406 236825 416812 473650 521015 947300 1042030 1146233 2084060 2292466 2605075 4584932 5210150 5731165 10420300 11462330 22924660 28655825 57311650 114623300