Search a number
-
+
114255012 = 22329397827
BaseRepresentation
bin1101100111101…
…10010010100100
321221222202102010
412303312102210
5213222130022
615200514220
72555102664
oct663662244
9257882363
10114255012
1159548533
123231b970
131a895021
14112621a4
15a06d50c
hex6cf64a4

114255012 has 48 divisors (see below), whose sum is σ = 276816960. Its totient is φ = 36634752.

The previous prime is 114254993. The next prime is 114255017. The reversal of 114255012 is 210552411.

It is a self number, because there is not a number n which added to its sum of digits gives 114255012.

It is not an unprimeable number, because it can be changed into a prime (114255017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137743 + ... + 138569.

It is an arithmetic number, because the mean of its divisors is an integer number (5767020).

Almost surely, 2114255012 is an apocalyptic number.

114255012 is a gapful number since it is divisible by the number (12) 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 114255012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138408480).

114255012 is an abundant number, since it is smaller than the sum of its proper divisors (162561948).

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

114255012 is a wasteful number, since it uses less digits than its factorization.

114255012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 114255012 is about 10689.0136121159. The cubic root of 114255012 is about 485.2420402407.

The spelling of 114255012 in words is "one hundred fourteen million, two hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 397 794 827 1191 1588 1654 2382 2481 3308 4764 4962 9924 11513 23026 23983 34539 46052 47966 69078 71949 95932 138156 143898 287796 328319 656638 984957 1313276 1969914 3939828 9521251 19042502 28563753 38085004 57127506 114255012