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114236166500 = 22531722136073
BaseRepresentation
bin110101001100100000…
…0011001000101100100
3101220212022111112100122
41222121000121011210
53332423424312000
6124251313301112
711152610252051
oct1523100310544
9356768445318
10114236166500
11444a1379765
121a181564798
13aa070295c1
145759a52028
152e88e6d085
hex1a99019164

114236166500 has 96 divisors (see below), whose sum is σ = 264330664416. Its totient is φ = 42980044800.

The previous prime is 114236166491. The next prime is 114236166511. The reversal of 114236166500 is 5661632411.

It can be written as a sum of positive squares in 16 ways, for example, as 7678315876 + 106557850624 = 87626^2 + 326432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18807464 + ... + 18813536.

It is an arithmetic number, because the mean of its divisors is an integer number (2753444421).

Almost surely, 2114236166500 is an apocalyptic number.

114236166500 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 114236166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132165332208).

114236166500 is an abundant number, since it is smaller than the sum of its proper divisors (150094497916).

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

114236166500 is a wasteful number, since it uses less digits than its factorization.

114236166500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 114236166500 its reverse (5661632411), we get a palindrome (119897798911).

The spelling of 114236166500 in words is "one hundred fourteen billion, two hundred thirty-six million, one hundred sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 2213 4250 4426 6073 8500 8852 11065 12146 22130 24292 30365 37621 44260 55325 60730 75242 103241 110650 121460 150484 151825 188105 206482 221300 276625 303650 376210 412964 516205 553250 607300 752420 759125 940525 1032410 1106500 1518250 1881050 2064820 2581025 3036500 3762100 4702625 5162050 9405250 10324100 12905125 13439549 18810500 25810250 26879098 51620500 53758196 67197745 134395490 228472333 268790980 335988725 456944666 671977450 913889332 1142361665 1343954900 1679943625 2284723330 3359887250 4569446660 5711808325 6719774500 11423616650 22847233300 28559041625 57118083250 114236166500