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114231800 = 235219231307
BaseRepresentation
bin1101100111100…
…00100111111000
321221221120120102
412303300213320
5213220404200
615200214532
72554645214
oct663604770
9257846512
10114231800
1159532051
123230a448
131a8875a7
1411257944
15a0666d5
hex6cf09f8

114231800 has 96 divisors (see below), whose sum is σ = 291945600. Its totient is φ = 41374080.

The previous prime is 114231791. The next prime is 114231811. The reversal of 114231800 is 8132411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86747 + ... + 88053.

It is an arithmetic number, because the mean of its divisors is an integer number (3041100).

Almost surely, 2114231800 is an apocalyptic number.

114231800 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 114231800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145972800).

114231800 is an abundant number, since it is smaller than the sum of its proper divisors (177713800).

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

114231800 is a wasteful number, since it uses less digits than its factorization.

114231800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 114231800 is about 10687.9277692170. The cubic root of 114231800 is about 485.2091774925.

The spelling of 114231800 in words is "one hundred fourteen million, two hundred thirty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 575 760 874 920 950 1150 1307 1748 1900 2185 2300 2614 3496 3800 4370 4600 5228 6535 8740 10456 10925 13070 17480 21850 24833 26140 30061 32675 43700 49666 52280 60122 65350 87400 99332 120244 124165 130700 150305 198664 240488 248330 261400 300610 496660 571159 601220 620825 751525 993320 1142318 1202440 1241650 1503050 2284636 2483300 2855795 3006100 4569272 4966600 5711590 6012200 11423180 14278975 22846360 28557950 57115900 114231800