220114000 has 80 divisors (see below), whose sum is σ = 536389776. Its totient is φ = 87360000.

The previous prime is 220113997. The next prime is 220114003. The reversal of 220114000 is 411022.

It is an interprime number because it is at equal distance from previous prime (220113997) and next prime (220114003).

It can be written as a sum of positive squares in 8 ways, for example, as 52359696 + 167754304 = 7236^2 + 12952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220114003) 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, 313650 + ... + 314350.

Almost surely, 2^220114000 is an apocalyptic number.

220114000 is a gapful number since it is divisible by the number (20) 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 220114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268194888).

220114000 is an abundant number, since it is smaller than the sum of its proper divisors (316275776).

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

220114000 is a wasteful number, since it uses less digits than its factorization.

220114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220114000 is about 14836.2394157010. The cubic root of 220114000 is about 603.7853278598.

Adding to 220114000 its reverse (411022), we get a palindrome (220525022).

The spelling of 220114000 in words is "two hundred twenty million, one hundred fourteen thousand".