114222400 has 42 divisors (see below), whose sum is σ = 281062430. Its totient is φ = 45688320.

The previous prime is 114222397. The next prime is 114222401. The reversal of 114222400 is 4222411.

It can be written as a sum of positive squares in 3 ways, for example, as 37063744 + 77158656 = 6088^2 + 8784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34095 + ... + 37294.

Almost surely, 2^114222400 is an apocalyptic number.

114222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114222400 is an abundant number, since it is smaller than the sum of its proper divisors (166840030).

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

114222400 is an equidigital number, since it uses as much as digits as its factorization.

114222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71411 (or 71396 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 114222400 is about 10687.4880116892. The cubic root of 114222400 is about 485.1958680305.

Adding to 114222400 its reverse (4222411), we get a palindrome (118444811).

The spelling of 114222400 in words is "one hundred fourteen million, two hundred twenty-two thousand, four hundred".