Search a number
-
+
114850164 = 22311131731127
BaseRepresentation
bin1101101100001…
…11100101110100
322000002222210210
412312013211310
5213400201124
615221345420
72563132062
oct666074564
9260088723
10114850164
11599146a0
1232568270
131aa42ba0
1411379032
15a139a29
hex6d87974

114850164 has 192 divisors, whose sum is σ = 346816512. Its totient is φ = 29030400.

The previous prime is 114850157. The next prime is 114850199. The reversal of 114850164 is 461058411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904269 + ... + 904395.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 2114850164 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 114850164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173408256).

114850164 is an abundant number, since it is smaller than the sum of its proper divisors (231966348).

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

114850164 is a wasteful number, since it uses less digits than its factorization.

114850164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114850164 is about 10716.8168781593. The cubic root of 114850164 is about 486.0831201293.

The spelling of 114850164 in words is "one hundred fourteen million, eight hundred fifty thousand, one hundred sixty-four".