214226640 has 240 divisors, whose sum is σ = 769147200. Its totient is φ = 54789120.

The previous prime is 214226629. The next prime is 214226641. The reversal of 214226640 is 46622412.

214226640 is a `hidden beast` number, since 2 + 14 + 2 + 2 + 6 + 640 = 666.

214226640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214226641) 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 47 ways as a sum of consecutive naturals, for example, 3630931 + ... + 3630989.

It is an arithmetic number, because the mean of its divisors is an integer number (3204780).

Almost surely, 2^214226640 is an apocalyptic number.

214226640 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 214226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384573600).

214226640 is an abundant number, since it is smaller than the sum of its proper divisors (554920560).

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

214226640 is a wasteful number, since it uses less digits than its factorization.

214226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214226640 is about 14636.4831841532. The cubic root of 214226640 is about 598.3534857846.

It can be divided in two parts, 2142 and 26640, that added together give a palindrome (28782).

The spelling of 214226640 in words is "two hundred fourteen million, two hundred twenty-six thousand, six hundred forty".