214226320 has 160 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 65809920.

The previous prime is 214226303. The next prime is 214226323. The reversal of 214226320 is 23622412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 214226291 and 214226300.

It is not an unprimeable number, because it can be changed into a prime (214226323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511071 + ... + 511489.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^214226320 is an apocalyptic number.

214226320 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 214226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

214226320 is an abundant number, since it is smaller than the sum of its proper divisors (415733360).

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

214226320 is a wasteful number, since it uses less digits than its factorization.

214226320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 214226320 is about 14636.4722525614. The cubic root of 214226320 is about 598.3531878553.

Adding to 214226320 its reverse (23622412), we get a palindrome (237848732).

The spelling of 214226320 in words is "two hundred fourteen million, two hundred twenty-six thousand, three hundred twenty".