114198240 has 96 divisors (see below), whose sum is σ = 387416736. Its totient is φ = 28108800.

The previous prime is 114198233. The next prime is 114198247. The reversal of 114198240 is 42891411.

It is an interprime number because it is at equal distance from previous prime (114198233) and next prime (114198247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114198198 and 114198207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114198247) 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 15 ways as a sum of consecutive naturals, for example, 2911 + ... + 15390.

It is an arithmetic number, because the mean of its divisors is an integer number (4035591).

Almost surely, 2^114198240 is an apocalyptic number.

114198240 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 114198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193708368).

114198240 is an abundant number, since it is smaller than the sum of its proper divisors (273218496).

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

114198240 is a wasteful number, since it uses less digits than its factorization.

114198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18332 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 114198240 is about 10686.3576582482. The cubic root of 114198240 is about 485.1616565310.

The spelling of 114198240 in words is "one hundred fourteen million, one hundred ninety-eight thousand, two hundred forty".