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114237216 = 25365983
BaseRepresentation
bin1101100111100…
…01111100100000
321221221212000000
412303301330200
5213221042331
615200300000
72555000052
oct663617440
9257855000
10114237216
1159536125
1232311600
131a889bb2
14112598d2
15a0680e6
hex6cf1f20

114237216 has 168 divisors, whose sum is σ = 347049360. Its totient is φ = 36982656.

The previous prime is 114237187. The next prime is 114237223. The reversal of 114237216 is 612732411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 114237216.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1376311 + ... + 1376393.

It is an arithmetic number, because the mean of its divisors is an integer number (2065770).

Almost surely, 2114237216 is an apocalyptic number.

114237216 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 114237216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173524680).

114237216 is an abundant number, since it is smaller than the sum of its proper divisors (232812144).

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

114237216 is an frugal number, since it uses more digits than its factorization.

114237216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 114237216 is about 10688.1811361896. The cubic root of 114237216 is about 485.2168456764.

Adding to 114237216 its reverse (612732411), we get a palindrome (726969627).

The spelling of 114237216 in words is "one hundred fourteen million, two hundred thirty-seven thousand, two hundred sixteen".