214226120 has 48 divisors (see below), whose sum is σ = 498148380. Its totient is φ = 82911360.

The previous prime is 214226119. The next prime is 214226123. The reversal of 214226120 is 21622412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 187744804 + 26481316 = 13702^2 + 5146^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214226092 and 214226101.

It is not an unprimeable number, because it can be changed into a prime (214226123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35654 + ... + 41226.

Almost surely, 2^214226120 is an apocalyptic number.

214226120 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 214226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249074190).

214226120 is an abundant number, since it is smaller than the sum of its proper divisors (283922260).

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

214226120 is a wasteful number, since it uses less digits than its factorization.

214226120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214226120 is about 14636.4654203124. The cubic root of 214226120 is about 598.3530016493.

Adding to 214226120 its reverse (21622412), we get a palindrome (235848532).

The spelling of 214226120 in words is "two hundred fourteen million, two hundred twenty-six thousand, one hundred twenty".