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114187232 = 2517792657
BaseRepresentation
bin1101100111001…
…01101111100000
321221212022102202
412303211233200
5213212442412
615155232332
72554401245
oct663455740
9257768382
10114187232
1159501615
12322a86a8
131a870213
14112455cc
15a0583c2
hex6ce5be0

114187232 has 48 divisors (see below), whose sum is σ = 241133760. Its totient is φ = 53035008.

The previous prime is 114187219. The next prime is 114187253. The reversal of 114187232 is 232781411.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 114187195 and 114187204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41648 + ... + 44304.

It is an arithmetic number, because the mean of its divisors is an integer number (5023620).

Almost surely, 2114187232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114187232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120566880).

114187232 is an abundant number, since it is smaller than the sum of its proper divisors (126946528).

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

114187232 is a wasteful number, since it uses less digits than its factorization.

114187232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2755 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 114187232 is about 10685.8425966322. The cubic root of 114187232 is about 485.1460671748.

The spelling of 114187232 in words is "one hundred fourteen million, one hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 79 136 158 272 316 544 632 1264 1343 2528 2657 2686 5314 5372 10628 10744 21256 21488 42512 42976 45169 85024 90338 180676 209903 361352 419806 722704 839612 1445408 1679224 3358448 3568351 6716896 7136702 14273404 28546808 57093616 114187232