114225216 has 112 divisors (see below), whose sum is σ = 354884736. Its totient is φ = 31739904.

The previous prime is 114225211. The next prime is 114225233. The reversal of 114225216 is 612522411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114225211) 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, 48580 + ... + 50876.

Almost surely, 2^114225216 is an apocalyptic number.

114225216 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 114225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177442368).

114225216 is an abundant number, since it is smaller than the sum of its proper divisors (240659520).

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

114225216 is a wasteful number, since it uses less digits than its factorization.

114225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2346 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 114225216 is about 10687.6197537150. The cubic root of 114225216 is about 485.1998552821.

Adding to 114225216 its reverse (612522411), we get a palindrome (726747627).

The spelling of 114225216 in words is "one hundred fourteen million, two hundred twenty-five thousand, two hundred sixteen".