114845220 has 216 divisors, whose sum is σ = 420147000. Its totient is φ = 25288704.

The previous prime is 114845209. The next prime is 114845221. The reversal of 114845220 is 22548411.

It can be written as a sum of positive squares in 4 ways, for example, as 16597476 + 98247744 = 4074^2 + 9912^2 .

It is not an unprimeable number, because it can be changed into a prime (114845221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255556 + ... + 256004.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^114845220 is an apocalyptic number.

114845220 is a gapful number since it is divisible by the number (10) 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 114845220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210073500).

114845220 is an abundant number, since it is smaller than the sum of its proper divisors (305301780).

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

114845220 is a wasteful number, since it uses less digits than its factorization.

114845220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114845220 is about 10716.5862101697. The cubic root of 114845220 is about 486.0761451590.

The spelling of 114845220 in words is "one hundred fourteen million, eight hundred forty-five thousand, two hundred twenty".