214778144 has 48 divisors (see below), whose sum is σ = 484344000. Its totient is φ = 91839744.

The previous prime is 214778141. The next prime is 214778167. The reversal of 214778144 is 441877412.

It is a super-2 number, since 2×214778144² = 92259302280169472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214778098 and 214778107.

It is not an unprimeable number, because it can be changed into a prime (214778141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137882 + ... + 139430.

It is an arithmetic number, because the mean of its divisors is an integer number (10090500).

Almost surely, 2^214778144 is an apocalyptic number.

It is an amenable number.

214778144 is an abundant number, since it is smaller than the sum of its proper divisors (269565856).

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

214778144 is a wasteful number, since it uses less digits than its factorization.

214778144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2177 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

The square root of 214778144 is about 14655.3111191813. The cubic root of 214778144 is about 598.8665118747.

The spelling of 214778144 in words is "two hundred fourteen million, seven hundred seventy-eight thousand, one hundred forty-four".