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114611216 = 2431269859
BaseRepresentation
bin1101101010011…
…01010000010000
321222122212000212
412311031100100
5213320024331
615212303252
72561115326
oct665152020
9258585025
10114611216
1159771115
1232471b28
131a98b1b5
1411315d16
15a0ddd2b
hex6d4d410

114611216 has 40 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 55186560.

The previous prime is 114611213. The next prime is 114611221. The reversal of 114611216 is 612116411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114611191 and 114611200.

It is not an unprimeable number, because it can be changed into a prime (114611213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132995 + ... + 133853.

It is an arithmetic number, because the mean of its divisors is an integer number (5758560).

Almost surely, 2114611216 is an apocalyptic number.

114611216 is a gapful number since it is divisible by the number (16) 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 114611216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

114611216 is an abundant number, since it is smaller than the sum of its proper divisors (115731184).

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

114611216 is a wasteful number, since it uses less digits than its factorization.

114611216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 114611216 is about 10705.6628005930. The cubic root of 114611216 is about 485.7457842812.

Adding to 114611216 its reverse (612116411), we get a palindrome (726727627).

The spelling of 114611216 in words is "one hundred fourteen million, six hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 269 496 538 859 1076 1718 2152 3436 4304 6872 8339 13744 16678 26629 33356 53258 66712 106516 133424 213032 231071 426064 462142 924284 1848568 3697136 7163201 14326402 28652804 57305608 114611216